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Finding the Third Proportional to 86,270 and 137,727

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Solution

The third proportional to 86,270 and 137,727 is: 219,876.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,270 : 137,727 = 137,727 : x
  2. Step 2: Convert to fraction form
    86,270/137,727 = 137,727/x
  3. Step 3: Cross multiply
    86,270x = 137,727 × 137,727
  4. Step 4: Simplify right side
    86,270x = 18,968,726,529
  5. Step 5: Solve for x
    x = 18,968,726,529/86,270
  6. Step 6: Final answer
    x = 219,876.28

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.