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Finding the Third Proportional to 99,834 and 216,921

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Solution

The third proportional to 99,834 and 216,921 is: 471,329.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,834 : 216,921 = 216,921 : x
  2. Step 2: Convert to fraction form
    99,834/216,921 = 216,921/x
  3. Step 3: Cross multiply
    99,834x = 216,921 × 216,921
  4. Step 4: Simplify right side
    99,834x = 47,054,720,241
  5. Step 5: Solve for x
    x = 47,054,720,241/99,834
  6. Step 6: Final answer
    x = 471,329.61

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.