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Finding the Third Proportional to 61,232 and 129,812

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Solution

The third proportional to 61,232 and 129,812 is: 275,201.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,232 : 129,812 = 129,812 : x
  2. Step 2: Convert to fraction form
    61,232/129,812 = 129,812/x
  3. Step 3: Cross multiply
    61,232x = 129,812 × 129,812
  4. Step 4: Simplify right side
    61,232x = 16,851,155,344
  5. Step 5: Solve for x
    x = 16,851,155,344/61,232
  6. Step 6: Final answer
    x = 275,201.78

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.