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Finding the Third Proportional to 129,904.50 and 279,147.75

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Solution

The third proportional to 129,904.50 and 279,147.75 is: 599,851.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,904.50 : 279,147.75 = 279,147.75 : x
  2. Step 2: Convert to fraction form
    129,904.50/279,147.75 = 279,147.75/x
  3. Step 3: Cross multiply
    129,904.50x = 279,147.75 × 279,147.75
  4. Step 4: Simplify right side
    129,904.50x = 77,923,466,330.06
  5. Step 5: Solve for x
    x = 77,923,466,330.06/129,904.50
  6. Step 6: Final answer
    x = 599,851.94

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.