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Finding the Third Proportional to 100,908 and 219,288

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Solution

The third proportional to 100,908 and 219,288 is: 476,545.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,908 : 219,288 = 219,288 : x
  2. Step 2: Convert to fraction form
    100,908/219,288 = 219,288/x
  3. Step 3: Cross multiply
    100,908x = 219,288 × 219,288
  4. Step 4: Simplify right side
    100,908x = 48,087,226,944
  5. Step 5: Solve for x
    x = 48,087,226,944/100,908
  6. Step 6: Final answer
    x = 476,545.24

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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.