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Finding the Third Proportional to 142,998.75 and 209,716.59

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Solution

The third proportional to 142,998.75 and 209,716.59 is: 307,562.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,998.75 : 209,716.59 = 209,716.59 : x
  2. Step 2: Convert to fraction form
    142,998.75/209,716.59 = 209,716.59/x
  3. Step 3: Cross multiply
    142,998.75x = 209,716.59 × 209,716.59
  4. Step 4: Simplify right side
    142,998.75x = 43,981,049,694.10
  5. Step 5: Solve for x
    x = 43,981,049,694.10/142,998.75
  6. Step 6: Final answer
    x = 307,562.48

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.