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Finding the Third Proportional to 99,546 and 218,775

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Solution

The third proportional to 99,546 and 218,775 is: 480,807.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,546 : 218,775 = 218,775 : x
  2. Step 2: Convert to fraction form
    99,546/218,775 = 218,775/x
  3. Step 3: Cross multiply
    99,546x = 218,775 × 218,775
  4. Step 4: Simplify right side
    99,546x = 47,862,500,625
  5. Step 5: Solve for x
    x = 47,862,500,625/99,546
  6. Step 6: Final answer
    x = 480,807.87

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.