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Finding the Third Proportional to 129,006 and 195,455.25

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Solution

The third proportional to 129,006 and 195,455.25 is: 296,131.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,006 : 195,455.25 = 195,455.25 : x
  2. Step 2: Convert to fraction form
    129,006/195,455.25 = 195,455.25/x
  3. Step 3: Cross multiply
    129,006x = 195,455.25 × 195,455.25
  4. Step 4: Simplify right side
    129,006x = 38,202,754,752.56
  5. Step 5: Solve for x
    x = 38,202,754,752.56/129,006
  6. Step 6: Final answer
    x = 296,131.61

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.