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Finding the Third Proportional to 721,359 and 1,539,209.25

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Solution

The third proportional to 721,359 and 1,539,209.25 is: 3,284,307.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    721,359 : 1,539,209.25 = 1,539,209.25 : x
  2. Step 2: Convert to fraction form
    721,359/1,539,209.25 = 1,539,209.25/x
  3. Step 3: Cross multiply
    721,359x = 1,539,209.25 × 1,539,209.25
  4. Step 4: Simplify right side
    721,359x = 2,369,165,115,285.56
  5. Step 5: Solve for x
    x = 2,369,165,115,285.56/721,359
  6. Step 6: Final answer
    x = 3,284,307.97

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.