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Finding the Third Proportional to 45,519 and 99,339

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Solution

The third proportional to 45,519 and 99,339 is: 216,793.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,519 : 99,339 = 99,339 : x
  2. Step 2: Convert to fraction form
    45,519/99,339 = 99,339/x
  3. Step 3: Cross multiply
    45,519x = 99,339 × 99,339
  4. Step 4: Simplify right side
    45,519x = 9,868,236,921
  5. Step 5: Solve for x
    x = 9,868,236,921/45,519
  6. Step 6: Final answer
    x = 216,793.80

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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.