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Finding the Third Proportional to 122,358.75 and 251,305.50

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Solution

The third proportional to 122,358.75 and 251,305.50 is: 516,141.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,358.75 : 251,305.50 = 251,305.50 : x
  2. Step 2: Convert to fraction form
    122,358.75/251,305.50 = 251,305.50/x
  3. Step 3: Cross multiply
    122,358.75x = 251,305.50 × 251,305.50
  4. Step 4: Simplify right side
    122,358.75x = 63,154,454,330.25
  5. Step 5: Solve for x
    x = 63,154,454,330.25/122,358.75
  6. Step 6: Final answer
    x = 516,141.71

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.