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Finding the Third Proportional to 129,760 and 279,524

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Solution

The third proportional to 129,760 and 279,524 is: 602,139.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,760 : 279,524 = 279,524 : x
  2. Step 2: Convert to fraction form
    129,760/279,524 = 279,524/x
  3. Step 3: Cross multiply
    129,760x = 279,524 × 279,524
  4. Step 4: Simplify right side
    129,760x = 78,133,666,576
  5. Step 5: Solve for x
    x = 78,133,666,576/129,760
  6. Step 6: Final answer
    x = 602,139.85

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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.