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Finding the Third Proportional to 99,867 and 217,368

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Solution

The third proportional to 99,867 and 217,368 is: 473,117.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,867 : 217,368 = 217,368 : x
  2. Step 2: Convert to fraction form
    99,867/217,368 = 217,368/x
  3. Step 3: Cross multiply
    99,867x = 217,368 × 217,368
  4. Step 4: Simplify right side
    99,867x = 47,248,847,424
  5. Step 5: Solve for x
    x = 47,248,847,424/99,867
  6. Step 6: Final answer
    x = 473,117.72

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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.