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Finding the Third Proportional to 99,829 and 216,911

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Solution

The third proportional to 99,829 and 216,911 is: 471,309.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,829 : 216,911 = 216,911 : x
  2. Step 2: Convert to fraction form
    99,829/216,911 = 216,911/x
  3. Step 3: Cross multiply
    99,829x = 216,911 × 216,911
  4. Step 4: Simplify right side
    99,829x = 47,050,381,921
  5. Step 5: Solve for x
    x = 47,050,381,921/99,829
  6. Step 6: Final answer
    x = 471,309.76

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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.