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Finding the Third Proportional to 91,100 and 127,389

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Solution

The third proportional to 91,100 and 127,389 is: 178,133.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,100 : 127,389 = 127,389 : x
  2. Step 2: Convert to fraction form
    91,100/127,389 = 127,389/x
  3. Step 3: Cross multiply
    91,100x = 127,389 × 127,389
  4. Step 4: Simplify right side
    91,100x = 16,227,957,321
  5. Step 5: Solve for x
    x = 16,227,957,321/91,100
  6. Step 6: Final answer
    x = 178,133.45

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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.