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Finding the Third Proportional to 129,638 and 194,579

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Solution

The third proportional to 129,638 and 194,579 is: 292,051.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,638 : 194,579 = 194,579 : x
  2. Step 2: Convert to fraction form
    129,638/194,579 = 194,579/x
  3. Step 3: Cross multiply
    129,638x = 194,579 × 194,579
  4. Step 4: Simplify right side
    129,638x = 37,860,987,241
  5. Step 5: Solve for x
    x = 37,860,987,241/129,638
  6. Step 6: Final answer
    x = 292,051.61

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.