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Finding the Third Proportional to 138,793.50 and 297,261

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Solution

The third proportional to 138,793.50 and 297,261 is: 636,658.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,793.50 : 297,261 = 297,261 : x
  2. Step 2: Convert to fraction form
    138,793.50/297,261 = 297,261/x
  3. Step 3: Cross multiply
    138,793.50x = 297,261 × 297,261
  4. Step 4: Simplify right side
    138,793.50x = 88,364,102,121
  5. Step 5: Solve for x
    x = 88,364,102,121/138,793.50
  6. Step 6: Final answer
    x = 636,658.79

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.