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Finding the Third Proportional to 38,868 and 87,819

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Solution

The third proportional to 38,868 and 87,819 is: 198,419.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,868 : 87,819 = 87,819 : x
  2. Step 2: Convert to fraction form
    38,868/87,819 = 87,819/x
  3. Step 3: Cross multiply
    38,868x = 87,819 × 87,819
  4. Step 4: Simplify right side
    38,868x = 7,712,176,761
  5. Step 5: Solve for x
    x = 7,712,176,761/38,868
  6. Step 6: Final answer
    x = 198,419.70

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Why These Related Problems?

These problems maintain the same ratio (2.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.