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Finding the Third Proportional to 99,864 and 217,216

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Solution

The third proportional to 99,864 and 217,216 is: 472,470.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,864 : 217,216 = 217,216 : x
  2. Step 2: Convert to fraction form
    99,864/217,216 = 217,216/x
  3. Step 3: Cross multiply
    99,864x = 217,216 × 217,216
  4. Step 4: Simplify right side
    99,864x = 47,182,790,656
  5. Step 5: Solve for x
    x = 47,182,790,656/99,864
  6. Step 6: Final answer
    x = 472,470.47

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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.