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Finding the Third Proportional to 135,744 and 207,127

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Solution

The third proportional to 135,744 and 207,127 is: 316,047.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,744 : 207,127 = 207,127 : x
  2. Step 2: Convert to fraction form
    135,744/207,127 = 207,127/x
  3. Step 3: Cross multiply
    135,744x = 207,127 × 207,127
  4. Step 4: Simplify right side
    135,744x = 42,901,594,129
  5. Step 5: Solve for x
    x = 42,901,594,129/135,744
  6. Step 6: Final answer
    x = 316,047.81

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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.