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Finding the Third Proportional to 120,318.75 and 137,814.75

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Solution

The third proportional to 120,318.75 and 137,814.75 is: 157,854.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,318.75 : 137,814.75 = 137,814.75 : x
  2. Step 2: Convert to fraction form
    120,318.75/137,814.75 = 137,814.75/x
  3. Step 3: Cross multiply
    120,318.75x = 137,814.75 × 137,814.75
  4. Step 4: Simplify right side
    120,318.75x = 18,992,905,317.56
  5. Step 5: Solve for x
    x = 18,992,905,317.56/120,318.75
  6. Step 6: Final answer
    x = 157,854.91

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Why These Related Problems?

These problems maintain the same ratio (1.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.