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Finding the Third Proportional to 379,492.88 and 815,265.56

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Solution

The third proportional to 379,492.88 and 815,265.56 is: 1,751,437.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    379,492.88 : 815,265.56 = 815,265.56 : x
  2. Step 2: Convert to fraction form
    379,492.88/815,265.56 = 815,265.56/x
  3. Step 3: Cross multiply
    379,492.88x = 815,265.56 × 815,265.56
  4. Step 4: Simplify right side
    379,492.88x = 664,657,937,398.44
  5. Step 5: Solve for x
    x = 664,657,937,398.44/379,492.88
  6. Step 6: Final answer
    x = 1,751,437.20

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.