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Finding the Third Proportional to 38,862 and 85,121

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Solution

The third proportional to 38,862 and 85,121 is: 186,443.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,862 : 85,121 = 85,121 : x
  2. Step 2: Convert to fraction form
    38,862/85,121 = 85,121/x
  3. Step 3: Cross multiply
    38,862x = 85,121 × 85,121
  4. Step 4: Simplify right side
    38,862x = 7,245,584,641
  5. Step 5: Solve for x
    x = 7,245,584,641/38,862
  6. Step 6: Final answer
    x = 186,443.95

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.