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Finding the Third Proportional to 120,772 and 171,792

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Solution

The third proportional to 120,772 and 171,792 is: 244,365.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,772 : 171,792 = 171,792 : x
  2. Step 2: Convert to fraction form
    120,772/171,792 = 171,792/x
  3. Step 3: Cross multiply
    120,772x = 171,792 × 171,792
  4. Step 4: Simplify right side
    120,772x = 29,512,491,264
  5. Step 5: Solve for x
    x = 29,512,491,264/120,772
  6. Step 6: Final answer
    x = 244,365.34

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.