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Finding the Third Proportional to 129,974 and 195,921

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Solution

The third proportional to 129,974 and 195,921 is: 295,328.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,974 : 195,921 = 195,921 : x
  2. Step 2: Convert to fraction form
    129,974/195,921 = 195,921/x
  3. Step 3: Cross multiply
    129,974x = 195,921 × 195,921
  4. Step 4: Simplify right side
    129,974x = 38,385,038,241
  5. Step 5: Solve for x
    x = 38,385,038,241/129,974
  6. Step 6: Final answer
    x = 295,328.59

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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.