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Finding the Third Proportional to 99,666 and 218,019

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Solution

The third proportional to 99,666 and 218,019 is: 476,915.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,666 : 218,019 = 218,019 : x
  2. Step 2: Convert to fraction form
    99,666/218,019 = 218,019/x
  3. Step 3: Cross multiply
    99,666x = 218,019 × 218,019
  4. Step 4: Simplify right side
    99,666x = 47,532,284,361
  5. Step 5: Solve for x
    x = 47,532,284,361/99,666
  6. Step 6: Final answer
    x = 476,915.74

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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.