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Finding the Third Proportional to 100,758 and 219,981

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Solution

The third proportional to 100,758 and 219,981 is: 480,275.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,758 : 219,981 = 219,981 : x
  2. Step 2: Convert to fraction form
    100,758/219,981 = 219,981/x
  3. Step 3: Cross multiply
    100,758x = 219,981 × 219,981
  4. Step 4: Simplify right side
    100,758x = 48,391,640,361
  5. Step 5: Solve for x
    x = 48,391,640,361/100,758
  6. Step 6: Final answer
    x = 480,275.91

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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.