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Finding the Third Proportional to 18,649 and 40,575

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Solution

The third proportional to 18,649 and 40,575 is: 88,279.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,649 : 40,575 = 40,575 : x
  2. Step 2: Convert to fraction form
    18,649/40,575 = 40,575/x
  3. Step 3: Cross multiply
    18,649x = 40,575 × 40,575
  4. Step 4: Simplify right side
    18,649x = 1,646,330,625
  5. Step 5: Solve for x
    x = 1,646,330,625/18,649
  6. Step 6: Final answer
    x = 88,279.83

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.