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Finding the Third Proportional to 86,081 and 133,613

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Solution

The third proportional to 86,081 and 133,613 is: 207,391.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,081 : 133,613 = 133,613 : x
  2. Step 2: Convert to fraction form
    86,081/133,613 = 133,613/x
  3. Step 3: Cross multiply
    86,081x = 133,613 × 133,613
  4. Step 4: Simplify right side
    86,081x = 17,852,433,769
  5. Step 5: Solve for x
    x = 17,852,433,769/86,081
  6. Step 6: Final answer
    x = 207,391.11

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.