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Finding the Third Proportional to 138,780.53 and 209,195.95

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Solution

The third proportional to 138,780.53 and 209,195.95 is: 315,339.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,780.53 : 209,195.95 = 209,195.95 : x
  2. Step 2: Convert to fraction form
    138,780.53/209,195.95 = 209,195.95/x
  3. Step 3: Cross multiply
    138,780.53x = 209,195.95 × 209,195.95
  4. Step 4: Simplify right side
    138,780.53x = 43,762,944,352.36
  5. Step 5: Solve for x
    x = 43,762,944,352.36/138,780.53
  6. Step 6: Final answer
    x = 315,339.23

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.