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Finding the Third Proportional to 86,638 and 137,843

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Solution

The third proportional to 86,638 and 137,843 is: 219,311.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,638 : 137,843 = 137,843 : x
  2. Step 2: Convert to fraction form
    86,638/137,843 = 137,843/x
  3. Step 3: Cross multiply
    86,638x = 137,843 × 137,843
  4. Step 4: Simplify right side
    86,638x = 19,000,692,649
  5. Step 5: Solve for x
    x = 19,000,692,649/86,638
  6. Step 6: Final answer
    x = 219,311.30

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.