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Finding the Third Proportional to 138,502.38 and 297,692.38

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Solution

The third proportional to 138,502.38 and 297,692.38 is: 639,850.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,502.38 : 297,692.38 = 297,692.38 : x
  2. Step 2: Convert to fraction form
    138,502.38/297,692.38 = 297,692.38/x
  3. Step 3: Cross multiply
    138,502.38x = 297,692.38 × 297,692.38
  4. Step 4: Simplify right side
    138,502.38x = 88,620,750,133.14
  5. Step 5: Solve for x
    x = 88,620,750,133.14/138,502.38
  6. Step 6: Final answer
    x = 639,850.04

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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.