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Finding the Third Proportional to 99,872 and 217,378

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Solution

The third proportional to 99,872 and 217,378 is: 473,137.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,872 : 217,378 = 217,378 : x
  2. Step 2: Convert to fraction form
    99,872/217,378 = 217,378/x
  3. Step 3: Cross multiply
    99,872x = 217,378 × 217,378
  4. Step 4: Simplify right side
    99,872x = 47,253,194,884
  5. Step 5: Solve for x
    x = 47,253,194,884/99,872
  6. Step 6: Final answer
    x = 473,137.56

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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.