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Finding the Third Proportional to 38,899 and 79,225

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Solution

The third proportional to 38,899 and 79,225 is: 161,356.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,899 : 79,225 = 79,225 : x
  2. Step 2: Convert to fraction form
    38,899/79,225 = 79,225/x
  3. Step 3: Cross multiply
    38,899x = 79,225 × 79,225
  4. Step 4: Simplify right side
    38,899x = 6,276,600,625
  5. Step 5: Solve for x
    x = 6,276,600,625/38,899
  6. Step 6: Final answer
    x = 161,356.35

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.