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Finding the Third Proportional to 332,730 and 721,510

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Solution

The third proportional to 332,730 and 721,510 is: 1,564,561.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    332,730 : 721,510 = 721,510 : x
  2. Step 2: Convert to fraction form
    332,730/721,510 = 721,510/x
  3. Step 3: Cross multiply
    332,730x = 721,510 × 721,510
  4. Step 4: Simplify right side
    332,730x = 520,576,680,100
  5. Step 5: Solve for x
    x = 520,576,680,100/332,730
  6. Step 6: Final answer
    x = 1,564,561.90

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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.