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Finding the Third Proportional to 91,708 and 138,855

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Solution

The third proportional to 91,708 and 138,855 is: 210,240.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,708 : 138,855 = 138,855 : x
  2. Step 2: Convert to fraction form
    91,708/138,855 = 138,855/x
  3. Step 3: Cross multiply
    91,708x = 138,855 × 138,855
  4. Step 4: Simplify right side
    91,708x = 19,280,711,025
  5. Step 5: Solve for x
    x = 19,280,711,025/91,708
  6. Step 6: Final answer
    x = 210,240.23

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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.