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Finding the Third Proportional to 129,970 and 195,915

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Solution

The third proportional to 129,970 and 195,915 is: 295,319.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,970 : 195,915 = 195,915 : x
  2. Step 2: Convert to fraction form
    129,970/195,915 = 195,915/x
  3. Step 3: Cross multiply
    129,970x = 195,915 × 195,915
  4. Step 4: Simplify right side
    129,970x = 38,382,687,225
  5. Step 5: Solve for x
    x = 38,382,687,225/129,970
  6. Step 6: Final answer
    x = 295,319.59

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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.