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Finding the Third Proportional to 219,920 and 490,208

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Solution

The third proportional to 219,920 and 490,208 is: 1,092,687.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,920 : 490,208 = 490,208 : x
  2. Step 2: Convert to fraction form
    219,920/490,208 = 490,208/x
  3. Step 3: Cross multiply
    219,920x = 490,208 × 490,208
  4. Step 4: Simplify right side
    219,920x = 240,303,883,264
  5. Step 5: Solve for x
    x = 240,303,883,264/219,920
  6. Step 6: Final answer
    x = 1,092,687.72

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.