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Finding the Third Proportional to 18,652 and 40,065

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Solution

The third proportional to 18,652 and 40,065 is: 86,060.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,652 : 40,065 = 40,065 : x
  2. Step 2: Convert to fraction form
    18,652/40,065 = 40,065/x
  3. Step 3: Cross multiply
    18,652x = 40,065 × 40,065
  4. Step 4: Simplify right side
    18,652x = 1,605,204,225
  5. Step 5: Solve for x
    x = 1,605,204,225/18,652
  6. Step 6: Final answer
    x = 86,060.70

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.