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Finding the Third Proportional to 100,872 and 219,216

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Solution

The third proportional to 100,872 and 219,216 is: 476,402.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,872 : 219,216 = 219,216 : x
  2. Step 2: Convert to fraction form
    100,872/219,216 = 219,216/x
  3. Step 3: Cross multiply
    100,872x = 219,216 × 219,216
  4. Step 4: Simplify right side
    100,872x = 48,055,654,656
  5. Step 5: Solve for x
    x = 48,055,654,656/100,872
  6. Step 6: Final answer
    x = 476,402.32

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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.