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Finding the Third Proportional to 138,418.50 and 181,755

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Solution

The third proportional to 138,418.50 and 181,755 is: 238,659.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,418.50 : 181,755 = 181,755 : x
  2. Step 2: Convert to fraction form
    138,418.50/181,755 = 181,755/x
  3. Step 3: Cross multiply
    138,418.50x = 181,755 × 181,755
  4. Step 4: Simplify right side
    138,418.50x = 33,034,880,025
  5. Step 5: Solve for x
    x = 33,034,880,025/138,418.50
  6. Step 6: Final answer
    x = 238,659.43

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.