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Finding the Third Proportional to 138,496.50 and 298,177.88

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Solution

The third proportional to 138,496.50 and 298,177.88 is: 641,966.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,496.50 : 298,177.88 = 298,177.88 : x
  2. Step 2: Convert to fraction form
    138,496.50/298,177.88 = 298,177.88/x
  3. Step 3: Cross multiply
    138,496.50x = 298,177.88 × 298,177.88
  4. Step 4: Simplify right side
    138,496.50x = 88,910,045,139.52
  5. Step 5: Solve for x
    x = 88,910,045,139.52/138,496.50
  6. Step 6: Final answer
    x = 641,966.01

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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.