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Finding the Third Proportional to 87,014.50 and 138,458.50

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Solution

The third proportional to 87,014.50 and 138,458.50 is: 220,316.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,014.50 : 138,458.50 = 138,458.50 : x
  2. Step 2: Convert to fraction form
    87,014.50/138,458.50 = 138,458.50/x
  3. Step 3: Cross multiply
    87,014.50x = 138,458.50 × 138,458.50
  4. Step 4: Simplify right side
    87,014.50x = 19,170,756,222.25
  5. Step 5: Solve for x
    x = 19,170,756,222.25/87,014.50
  6. Step 6: Final answer
    x = 220,316.80

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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.