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Finding the Third Proportional to 142,657 and 217,792

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Solution

The third proportional to 142,657 and 217,792 is: 332,499.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,657 : 217,792 = 217,792 : x
  2. Step 2: Convert to fraction form
    142,657/217,792 = 217,792/x
  3. Step 3: Cross multiply
    142,657x = 217,792 × 217,792
  4. Step 4: Simplify right side
    142,657x = 47,433,355,264
  5. Step 5: Solve for x
    x = 47,433,355,264/142,657
  6. Step 6: Final answer
    x = 332,499.32

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.