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Finding the Third Proportional to 138,646.97 and 298,309.64

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Solution

The third proportional to 138,646.97 and 298,309.64 is: 641,836.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,646.97 : 298,309.64 = 298,309.64 : x
  2. Step 2: Convert to fraction form
    138,646.97/298,309.64 = 298,309.64/x
  3. Step 3: Cross multiply
    138,646.97x = 298,309.64 × 298,309.64
  4. Step 4: Simplify right side
    138,646.97x = 88,988,641,689.82
  5. Step 5: Solve for x
    x = 88,988,641,689.82/138,646.97
  6. Step 6: Final answer
    x = 641,836.19

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.