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Finding the Third Proportional to 129,969.56 and 279,277.88

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Solution

The third proportional to 129,969.56 and 279,277.88 is: 600,110.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,969.56 : 279,277.88 = 279,277.88 : x
  2. Step 2: Convert to fraction form
    129,969.56/279,277.88 = 279,277.88/x
  3. Step 3: Cross multiply
    129,969.56x = 279,277.88 × 279,277.88
  4. Step 4: Simplify right side
    129,969.56x = 77,996,131,464.52
  5. Step 5: Solve for x
    x = 77,996,131,464.52/129,969.56
  6. Step 6: Final answer
    x = 600,110.75

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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.