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Finding the Third Proportional to 220,554 and 478,449

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Solution

The third proportional to 220,554 and 478,449 is: 1,037,902.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    220,554 : 478,449 = 478,449 : x
  2. Step 2: Convert to fraction form
    220,554/478,449 = 478,449/x
  3. Step 3: Cross multiply
    220,554x = 478,449 × 478,449
  4. Step 4: Simplify right side
    220,554x = 228,913,445,601
  5. Step 5: Solve for x
    x = 228,913,445,601/220,554
  6. Step 6: Final answer
    x = 1,037,902.04

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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.