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Finding the Third Proportional to 86,859 and 137,649.75

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Solution

The third proportional to 86,859 and 137,649.75 is: 218,140.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,859 : 137,649.75 = 137,649.75 : x
  2. Step 2: Convert to fraction form
    86,859/137,649.75 = 137,649.75/x
  3. Step 3: Cross multiply
    86,859x = 137,649.75 × 137,649.75
  4. Step 4: Simplify right side
    86,859x = 18,947,453,675.06
  5. Step 5: Solve for x
    x = 18,947,453,675.06/86,859
  6. Step 6: Final answer
    x = 218,140.36

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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.