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Finding the Third Proportional to 86,554 and 136,939

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Solution

The third proportional to 86,554 and 136,939 is: 216,654.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,554 : 136,939 = 136,939 : x
  2. Step 2: Convert to fraction form
    86,554/136,939 = 136,939/x
  3. Step 3: Cross multiply
    86,554x = 136,939 × 136,939
  4. Step 4: Simplify right side
    86,554x = 18,752,289,721
  5. Step 5: Solve for x
    x = 18,752,289,721/86,554
  6. Step 6: Final answer
    x = 216,654.22

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.