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Finding the Third Proportional to 138,729.38 and 298,513.64

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Solution

The third proportional to 138,729.38 and 298,513.64 is: 642,332.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,729.38 : 298,513.64 = 298,513.64 : x
  2. Step 2: Convert to fraction form
    138,729.38/298,513.64 = 298,513.64/x
  3. Step 3: Cross multiply
    138,729.38x = 298,513.64 × 298,513.64
  4. Step 4: Simplify right side
    138,729.38x = 89,110,393,639.19
  5. Step 5: Solve for x
    x = 89,110,393,639.19/138,729.38
  6. Step 6: Final answer
    x = 642,332.55

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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.