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Finding the Third Proportional to 129,707.50 and 279,425

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Solution

The third proportional to 129,707.50 and 279,425 is: 601,956.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,707.50 : 279,425 = 279,425 : x
  2. Step 2: Convert to fraction form
    129,707.50/279,425 = 279,425/x
  3. Step 3: Cross multiply
    129,707.50x = 279,425 × 279,425
  4. Step 4: Simplify right side
    129,707.50x = 78,078,330,625
  5. Step 5: Solve for x
    x = 78,078,330,625/129,707.50
  6. Step 6: Final answer
    x = 601,956.95

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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.