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Finding the Third Proportional to 138,708 and 181,356.75

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Solution

The third proportional to 138,708 and 181,356.75 is: 237,118.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,708 : 181,356.75 = 181,356.75 : x
  2. Step 2: Convert to fraction form
    138,708/181,356.75 = 181,356.75/x
  3. Step 3: Cross multiply
    138,708x = 181,356.75 × 181,356.75
  4. Step 4: Simplify right side
    138,708x = 32,890,270,770.56
  5. Step 5: Solve for x
    x = 32,890,270,770.56/138,708
  6. Step 6: Final answer
    x = 237,118.77

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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.