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Finding the Third Proportional to 129,901 and 279,530

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Solution

The third proportional to 129,901 and 279,530 is: 601,512.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,901 : 279,530 = 279,530 : x
  2. Step 2: Convert to fraction form
    129,901/279,530 = 279,530/x
  3. Step 3: Cross multiply
    129,901x = 279,530 × 279,530
  4. Step 4: Simplify right side
    129,901x = 78,137,020,900
  5. Step 5: Solve for x
    x = 78,137,020,900/129,901
  6. Step 6: Final answer
    x = 601,512.08

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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.