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Finding the Third Proportional to 103,891.50 and 138,651.75

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Solution

The third proportional to 103,891.50 and 138,651.75 is: 185,042.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,891.50 : 138,651.75 = 138,651.75 : x
  2. Step 2: Convert to fraction form
    103,891.50/138,651.75 = 138,651.75/x
  3. Step 3: Cross multiply
    103,891.50x = 138,651.75 × 138,651.75
  4. Step 4: Simplify right side
    103,891.50x = 19,224,307,778.06
  5. Step 5: Solve for x
    x = 19,224,307,778.06/103,891.50
  6. Step 6: Final answer
    x = 185,042.16

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.