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Finding the Third Proportional to 96,253.31 and 198,642.38

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Solution

The third proportional to 96,253.31 and 198,642.38 is: 409,947.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,253.31 : 198,642.38 = 198,642.38 : x
  2. Step 2: Convert to fraction form
    96,253.31/198,642.38 = 198,642.38/x
  3. Step 3: Cross multiply
    96,253.31x = 198,642.38 × 198,642.38
  4. Step 4: Simplify right side
    96,253.31x = 39,458,793,145.64
  5. Step 5: Solve for x
    x = 39,458,793,145.64/96,253.31
  6. Step 6: Final answer
    x = 409,947.38

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.