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Finding the Third Proportional to 220,538 and 478,418

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Solution

The third proportional to 220,538 and 478,418 is: 1,037,842.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    220,538 : 478,418 = 478,418 : x
  2. Step 2: Convert to fraction form
    220,538/478,418 = 478,418/x
  3. Step 3: Cross multiply
    220,538x = 478,418 × 478,418
  4. Step 4: Simplify right side
    220,538x = 228,883,782,724
  5. Step 5: Solve for x
    x = 228,883,782,724/220,538
  6. Step 6: Final answer
    x = 1,037,842.83

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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.