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Finding the Third Proportional to 220,774 and 491,512

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Solution

The third proportional to 220,774 and 491,512 is: 1,094,259.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    220,774 : 491,512 = 491,512 : x
  2. Step 2: Convert to fraction form
    220,774/491,512 = 491,512/x
  3. Step 3: Cross multiply
    220,774x = 491,512 × 491,512
  4. Step 4: Simplify right side
    220,774x = 241,584,046,144
  5. Step 5: Solve for x
    x = 241,584,046,144/220,774
  6. Step 6: Final answer
    x = 1,094,259.50

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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.