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Finding the Third Proportional to 220,398 and 477,444

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Solution

The third proportional to 220,398 and 477,444 is: 1,034,277.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    220,398 : 477,444 = 477,444 : x
  2. Step 2: Convert to fraction form
    220,398/477,444 = 477,444/x
  3. Step 3: Cross multiply
    220,398x = 477,444 × 477,444
  4. Step 4: Simplify right side
    220,398x = 227,952,773,136
  5. Step 5: Solve for x
    x = 227,952,773,136/220,398
  6. Step 6: Final answer
    x = 1,034,277.87

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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.