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Finding the Third Proportional to 120,640.13 and 158,640.75

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Solution

The third proportional to 120,640.13 and 158,640.75 is: 208,611.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,640.13 : 158,640.75 = 158,640.75 : x
  2. Step 2: Convert to fraction form
    120,640.13/158,640.75 = 158,640.75/x
  3. Step 3: Cross multiply
    120,640.13x = 158,640.75 × 158,640.75
  4. Step 4: Simplify right side
    120,640.13x = 25,166,887,560.56
  5. Step 5: Solve for x
    x = 25,166,887,560.56/120,640.13
  6. Step 6: Final answer
    x = 208,611.25

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.