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Finding the Third Proportional to 332,471 and 688,591

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Solution

The third proportional to 332,471 and 688,591 is: 1,426,162.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    332,471 : 688,591 = 688,591 : x
  2. Step 2: Convert to fraction form
    332,471/688,591 = 688,591/x
  3. Step 3: Cross multiply
    332,471x = 688,591 × 688,591
  4. Step 4: Simplify right side
    332,471x = 474,157,565,281
  5. Step 5: Solve for x
    x = 474,157,565,281/332,471
  6. Step 6: Final answer
    x = 1,426,162.18

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.