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Finding the Third Proportional to 131,385.38 and 200,358.56

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Solution

The third proportional to 131,385.38 and 200,358.56 is: 305,540.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,385.38 : 200,358.56 = 200,358.56 : x
  2. Step 2: Convert to fraction form
    131,385.38/200,358.56 = 200,358.56/x
  3. Step 3: Cross multiply
    131,385.38x = 200,358.56 × 200,358.56
  4. Step 4: Simplify right side
    131,385.38x = 40,143,553,567.07
  5. Step 5: Solve for x
    x = 40,143,553,567.07/131,385.38
  6. Step 6: Final answer
    x = 305,540.50

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.