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Finding the Third Proportional to 220,551 and 478,443

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Solution

The third proportional to 220,551 and 478,443 is: 1,037,890.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    220,551 : 478,443 = 478,443 : x
  2. Step 2: Convert to fraction form
    220,551/478,443 = 478,443/x
  3. Step 3: Cross multiply
    220,551x = 478,443 × 478,443
  4. Step 4: Simplify right side
    220,551x = 228,907,704,249
  5. Step 5: Solve for x
    x = 228,907,704,249/220,551
  6. Step 6: Final answer
    x = 1,037,890.12

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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.