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Finding the Third Proportional to 138,879.56 and 207,405.56

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Solution

The third proportional to 138,879.56 and 207,405.56 is: 309,743.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,879.56 : 207,405.56 = 207,405.56 : x
  2. Step 2: Convert to fraction form
    138,879.56/207,405.56 = 207,405.56/x
  3. Step 3: Cross multiply
    138,879.56x = 207,405.56 × 207,405.56
  4. Step 4: Simplify right side
    138,879.56x = 43,017,067,355.94
  5. Step 5: Solve for x
    x = 43,017,067,355.94/138,879.56
  6. Step 6: Final answer
    x = 309,743.68

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.