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Finding the Third Proportional to 258,207,200.72 and 557,218,490.63

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Solution

The third proportional to 258,207,200.72 and 557,218,490.63 is: 1,202,493,367.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,207,200.72 : 557,218,490.63 = 557,218,490.63 : x
  2. Step 2: Convert to fraction form
    258,207,200.72/557,218,490.63 = 557,218,490.63/x
  3. Step 3: Cross multiply
    258,207,200.72x = 557,218,490.63 × 557,218,490.63
  4. Step 4: Simplify right side
    258,207,200.72x = 310,492,446,294,403,200
  5. Step 5: Solve for x
    x = 310,492,446,294,403,200/258,207,200.72
  6. Step 6: Final answer
    x = 1,202,493,367.46

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.