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Finding the Third Proportional to 91,098 and 127,386

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Solution

The third proportional to 91,098 and 127,386 is: 178,128.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,098 : 127,386 = 127,386 : x
  2. Step 2: Convert to fraction form
    91,098/127,386 = 127,386/x
  3. Step 3: Cross multiply
    91,098x = 127,386 × 127,386
  4. Step 4: Simplify right side
    91,098x = 16,227,192,996
  5. Step 5: Solve for x
    x = 16,227,192,996/91,098
  6. Step 6: Final answer
    x = 178,128.97

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.