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Finding the Third Proportional to 86,076 and 126,287

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Solution

The third proportional to 86,076 and 126,287 is: 185,282.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,076 : 126,287 = 126,287 : x
  2. Step 2: Convert to fraction form
    86,076/126,287 = 126,287/x
  3. Step 3: Cross multiply
    86,076x = 126,287 × 126,287
  4. Step 4: Simplify right side
    86,076x = 15,948,406,369
  5. Step 5: Solve for x
    x = 15,948,406,369/86,076
  6. Step 6: Final answer
    x = 185,282.85

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.