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Finding the Third Proportional to 138,747.38 and 297,178.88

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Solution

The third proportional to 138,747.38 and 297,178.88 is: 636,518.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,747.38 : 297,178.88 = 297,178.88 : x
  2. Step 2: Convert to fraction form
    138,747.38/297,178.88 = 297,178.88/x
  3. Step 3: Cross multiply
    138,747.38x = 297,178.88 × 297,178.88
  4. Step 4: Simplify right side
    138,747.38x = 88,315,283,746.27
  5. Step 5: Solve for x
    x = 88,315,283,746.27/138,747.38
  6. Step 6: Final answer
    x = 636,518.59

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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.