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Finding the Third Proportional to 220,560 and 478,464

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Solution

The third proportional to 220,560 and 478,464 is: 1,037,938.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    220,560 : 478,464 = 478,464 : x
  2. Step 2: Convert to fraction form
    220,560/478,464 = 478,464/x
  3. Step 3: Cross multiply
    220,560x = 478,464 × 478,464
  4. Step 4: Simplify right side
    220,560x = 228,927,799,296
  5. Step 5: Solve for x
    x = 228,927,799,296/220,560
  6. Step 6: Final answer
    x = 1,037,938.88

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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.