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Finding the Third Proportional to 220,418 and 477,460

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Solution

The third proportional to 220,418 and 477,460 is: 1,034,253.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    220,418 : 477,460 = 477,460 : x
  2. Step 2: Convert to fraction form
    220,418/477,460 = 477,460/x
  3. Step 3: Cross multiply
    220,418x = 477,460 × 477,460
  4. Step 4: Simplify right side
    220,418x = 227,968,051,600
  5. Step 5: Solve for x
    x = 227,968,051,600/220,418
  6. Step 6: Final answer
    x = 1,034,253.34

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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.