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Finding the Third Proportional to 86,056 and 126,262

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Solution

The third proportional to 86,056 and 126,262 is: 185,252.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,056 : 126,262 = 126,262 : x
  2. Step 2: Convert to fraction form
    86,056/126,262 = 126,262/x
  3. Step 3: Cross multiply
    86,056x = 126,262 × 126,262
  4. Step 4: Simplify right side
    86,056x = 15,942,092,644
  5. Step 5: Solve for x
    x = 15,942,092,644/86,056
  6. Step 6: Final answer
    x = 185,252.54

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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.