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Finding the Third Proportional to 86,859 and 137,649

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Solution

The third proportional to 86,859 and 137,649 is: 218,137.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,859 : 137,649 = 137,649 : x
  2. Step 2: Convert to fraction form
    86,859/137,649 = 137,649/x
  3. Step 3: Cross multiply
    86,859x = 137,649 × 137,649
  4. Step 4: Simplify right side
    86,859x = 18,947,247,201
  5. Step 5: Solve for x
    x = 18,947,247,201/86,859
  6. Step 6: Final answer
    x = 218,137.98

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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.