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Finding the Third Proportional to 580,573,534,560 and 807,241,093,387.50

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Solution

The third proportional to 580,573,534,560 and 807,241,093,387.50 is: 1,122,404,215,940.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    580,573,534,560 : 807,241,093,387.50 = 807,241,093,387.50 : x
  2. Step 2: Convert to fraction form
    580,573,534,560/807,241,093,387.50 = 807,241,093,387.50/x
  3. Step 3: Cross multiply
    580,573,534,560x = 807,241,093,387.50 × 807,241,093,387.50
  4. Step 4: Simplify right side
    580,573,534,560x = 651,638,182,853,446,488,555,520
  5. Step 5: Solve for x
    x = 651,638,182,853,446,488,555,520/580,573,534,560
  6. Step 6: Final answer
    x = 1,122,404,215,940.20

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.