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Finding the Third Proportional to 85,502.25 and 131,614.88

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Solution

The third proportional to 85,502.25 and 131,614.88 is: 202,596.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,502.25 : 131,614.88 = 131,614.88 : x
  2. Step 2: Convert to fraction form
    85,502.25/131,614.88 = 131,614.88/x
  3. Step 3: Cross multiply
    85,502.25x = 131,614.88 × 131,614.88
  4. Step 4: Simplify right side
    85,502.25x = 17,322,475,321.27
  5. Step 5: Solve for x
    x = 17,322,475,321.27/85,502.25
  6. Step 6: Final answer
    x = 202,596.72

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.