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Finding the Third Proportional to 18,617 and 40,151

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Solution

The third proportional to 18,617 and 40,151 is: 86,593.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,617 : 40,151 = 40,151 : x
  2. Step 2: Convert to fraction form
    18,617/40,151 = 40,151/x
  3. Step 3: Cross multiply
    18,617x = 40,151 × 40,151
  4. Step 4: Simplify right side
    18,617x = 1,612,102,801
  5. Step 5: Solve for x
    x = 1,612,102,801/18,617
  6. Step 6: Final answer
    x = 86,593.05

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.