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Finding the Third Proportional to 64,432 and 141,940

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Solution

The third proportional to 64,432 and 141,940 is: 312,685.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,432 : 141,940 = 141,940 : x
  2. Step 2: Convert to fraction form
    64,432/141,940 = 141,940/x
  3. Step 3: Cross multiply
    64,432x = 141,940 × 141,940
  4. Step 4: Simplify right side
    64,432x = 20,146,963,600
  5. Step 5: Solve for x
    x = 20,146,963,600/64,432
  6. Step 6: Final answer
    x = 312,685.68

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.