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Finding the Third Proportional to 332,728 and 721,505

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Solution

The third proportional to 332,728 and 721,505 is: 1,564,549.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    332,728 : 721,505 = 721,505 : x
  2. Step 2: Convert to fraction form
    332,728/721,505 = 721,505/x
  3. Step 3: Cross multiply
    332,728x = 721,505 × 721,505
  4. Step 4: Simplify right side
    332,728x = 520,569,465,025
  5. Step 5: Solve for x
    x = 520,569,465,025/332,728
  6. Step 6: Final answer
    x = 1,564,549.62

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.