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Finding the Third Proportional to 321,872 and 472,956

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Solution

The third proportional to 321,872 and 472,956 is: 694,957.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,872 : 472,956 = 472,956 : x
  2. Step 2: Convert to fraction form
    321,872/472,956 = 472,956/x
  3. Step 3: Cross multiply
    321,872x = 472,956 × 472,956
  4. Step 4: Simplify right side
    321,872x = 223,687,377,936
  5. Step 5: Solve for x
    x = 223,687,377,936/321,872
  6. Step 6: Final answer
    x = 694,957.55

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.