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Finding the Third Proportional to 129,013 and 189,725

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Solution

The third proportional to 129,013 and 189,725 is: 279,007.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,013 : 189,725 = 189,725 : x
  2. Step 2: Convert to fraction form
    129,013/189,725 = 189,725/x
  3. Step 3: Cross multiply
    129,013x = 189,725 × 189,725
  4. Step 4: Simplify right side
    129,013x = 35,995,575,625
  5. Step 5: Solve for x
    x = 35,995,575,625/129,013
  6. Step 6: Final answer
    x = 279,007.35

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.