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Finding the Third Proportional to 138,151.20 and 207,739.85

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Solution

The third proportional to 138,151.20 and 207,739.85 is: 312,381.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,151.20 : 207,739.85 = 207,739.85 : x
  2. Step 2: Convert to fraction form
    138,151.20/207,739.85 = 207,739.85/x
  3. Step 3: Cross multiply
    138,151.20x = 207,739.85 × 207,739.85
  4. Step 4: Simplify right side
    138,151.20x = 43,155,843,492.76
  5. Step 5: Solve for x
    x = 43,155,843,492.76/138,151.20
  6. Step 6: Final answer
    x = 312,381.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.