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Finding the Third Proportional to 329,446 and 721,928

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Solution

The third proportional to 329,446 and 721,928 is: 1,581,989.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,446 : 721,928 = 721,928 : x
  2. Step 2: Convert to fraction form
    329,446/721,928 = 721,928/x
  3. Step 3: Cross multiply
    329,446x = 721,928 × 721,928
  4. Step 4: Simplify right side
    329,446x = 521,180,037,184
  5. Step 5: Solve for x
    x = 521,180,037,184/329,446
  6. Step 6: Final answer
    x = 1,581,989.27

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.