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Finding the Third Proportional to 82,040 and 127,458

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Solution

The third proportional to 82,040 and 127,458 is: 198,019.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,040 : 127,458 = 127,458 : x
  2. Step 2: Convert to fraction form
    82,040/127,458 = 127,458/x
  3. Step 3: Cross multiply
    82,040x = 127,458 × 127,458
  4. Step 4: Simplify right side
    82,040x = 16,245,541,764
  5. Step 5: Solve for x
    x = 16,245,541,764/82,040
  6. Step 6: Final answer
    x = 198,019.77

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.