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Finding the Third Proportional to 82,157 and 126,719

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Solution

The third proportional to 82,157 and 126,719 is: 195,451.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,157 : 126,719 = 126,719 : x
  2. Step 2: Convert to fraction form
    82,157/126,719 = 126,719/x
  3. Step 3: Cross multiply
    82,157x = 126,719 × 126,719
  4. Step 4: Simplify right side
    82,157x = 16,057,704,961
  5. Step 5: Solve for x
    x = 16,057,704,961/82,157
  6. Step 6: Final answer
    x = 195,451.45

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.