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Finding the Third Proportional to 138,135.75 and 207,716.25

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Solution

The third proportional to 138,135.75 and 207,716.25 is: 312,345.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,135.75 : 207,716.25 = 207,716.25 : x
  2. Step 2: Convert to fraction form
    138,135.75/207,716.25 = 207,716.25/x
  3. Step 3: Cross multiply
    138,135.75x = 207,716.25 × 207,716.25
  4. Step 4: Simplify right side
    138,135.75x = 43,146,040,514.06
  5. Step 5: Solve for x
    x = 43,146,040,514.06/138,135.75
  6. Step 6: Final answer
    x = 312,345.21

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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.