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Finding the Third Proportional to 91,634 and 138,727

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Solution

The third proportional to 91,634 and 138,727 is: 210,022.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,634 : 138,727 = 138,727 : x
  2. Step 2: Convert to fraction form
    91,634/138,727 = 138,727/x
  3. Step 3: Cross multiply
    91,634x = 138,727 × 138,727
  4. Step 4: Simplify right side
    91,634x = 19,245,180,529
  5. Step 5: Solve for x
    x = 19,245,180,529/91,634
  6. Step 6: Final answer
    x = 210,022.27

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.