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Finding the Third Proportional to 99,369 and 218,394

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Solution

The third proportional to 99,369 and 218,394 is: 479,988.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,369 : 218,394 = 218,394 : x
  2. Step 2: Convert to fraction form
    99,369/218,394 = 218,394/x
  3. Step 3: Cross multiply
    99,369x = 218,394 × 218,394
  4. Step 4: Simplify right side
    99,369x = 47,695,939,236
  5. Step 5: Solve for x
    x = 47,695,939,236/99,369
  6. Step 6: Final answer
    x = 479,988.12

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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.