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Finding the Third Proportional to 100,678 and 220,290

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Solution

The third proportional to 100,678 and 220,290 is: 482,008.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,678 : 220,290 = 220,290 : x
  2. Step 2: Convert to fraction form
    100,678/220,290 = 220,290/x
  3. Step 3: Cross multiply
    100,678x = 220,290 × 220,290
  4. Step 4: Simplify right side
    100,678x = 48,527,684,100
  5. Step 5: Solve for x
    x = 48,527,684,100/100,678
  6. Step 6: Final answer
    x = 482,008.82

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.