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Finding the Third Proportional to 220,739 and 491,443

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Solution

The third proportional to 220,739 and 491,443 is: 1,094,125.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    220,739 : 491,443 = 491,443 : x
  2. Step 2: Convert to fraction form
    220,739/491,443 = 491,443/x
  3. Step 3: Cross multiply
    220,739x = 491,443 × 491,443
  4. Step 4: Simplify right side
    220,739x = 241,516,222,249
  5. Step 5: Solve for x
    x = 241,516,222,249/220,739
  6. Step 6: Final answer
    x = 1,094,125.74

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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.