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Finding the Third Proportional to 129,098.50 and 195,579.75

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Solution

The third proportional to 129,098.50 and 195,579.75 is: 296,296.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,098.50 : 195,579.75 = 195,579.75 : x
  2. Step 2: Convert to fraction form
    129,098.50/195,579.75 = 195,579.75/x
  3. Step 3: Cross multiply
    129,098.50x = 195,579.75 × 195,579.75
  4. Step 4: Simplify right side
    129,098.50x = 38,251,438,610.06
  5. Step 5: Solve for x
    x = 38,251,438,610.06/129,098.50
  6. Step 6: Final answer
    x = 296,296.54

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.