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Finding the Third Proportional to 129,098 and 195,579

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Solution

The third proportional to 129,098 and 195,579 is: 296,295.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,098 : 195,579 = 195,579 : x
  2. Step 2: Convert to fraction form
    129,098/195,579 = 195,579/x
  3. Step 3: Cross multiply
    129,098x = 195,579 × 195,579
  4. Step 4: Simplify right side
    129,098x = 38,251,145,241
  5. Step 5: Solve for x
    x = 38,251,145,241/129,098
  6. Step 6: Final answer
    x = 296,295.41

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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.