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Finding the Third Proportional to 220,342 and 477,317

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Solution

The third proportional to 220,342 and 477,317 is: 1,033,990.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    220,342 : 477,317 = 477,317 : x
  2. Step 2: Convert to fraction form
    220,342/477,317 = 477,317/x
  3. Step 3: Cross multiply
    220,342x = 477,317 × 477,317
  4. Step 4: Simplify right side
    220,342x = 227,831,518,489
  5. Step 5: Solve for x
    x = 227,831,518,489/220,342
  6. Step 6: Final answer
    x = 1,033,990.43

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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.