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Finding the Third Proportional to 129,418 and 195,039

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Solution

The third proportional to 129,418 and 195,039 is: 293,932.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,418 : 195,039 = 195,039 : x
  2. Step 2: Convert to fraction form
    129,418/195,039 = 195,039/x
  3. Step 3: Cross multiply
    129,418x = 195,039 × 195,039
  4. Step 4: Simplify right side
    129,418x = 38,040,211,521
  5. Step 5: Solve for x
    x = 38,040,211,521/129,418
  6. Step 6: Final answer
    x = 293,932.93

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.