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Finding the Third Proportional to 332,376 and 721,128

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Solution

The third proportional to 332,376 and 721,128 is: 1,564,570.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    332,376 : 721,128 = 721,128 : x
  2. Step 2: Convert to fraction form
    332,376/721,128 = 721,128/x
  3. Step 3: Cross multiply
    332,376x = 721,128 × 721,128
  4. Step 4: Simplify right side
    332,376x = 520,025,592,384
  5. Step 5: Solve for x
    x = 520,025,592,384/332,376
  6. Step 6: Final answer
    x = 1,564,570.22

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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.