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Finding the Third Proportional to 321,020 and 429,472

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Solution

The third proportional to 321,020 and 429,472 is: 574,562.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,020 : 429,472 = 429,472 : x
  2. Step 2: Convert to fraction form
    321,020/429,472 = 429,472/x
  3. Step 3: Cross multiply
    321,020x = 429,472 × 429,472
  4. Step 4: Simplify right side
    321,020x = 184,446,198,784
  5. Step 5: Solve for x
    x = 184,446,198,784/321,020
  6. Step 6: Final answer
    x = 574,562.95

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.