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Finding the Third Proportional to 252,776 and 550,188

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Solution

The third proportional to 252,776 and 550,188 is: 1,197,529.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,776 : 550,188 = 550,188 : x
  2. Step 2: Convert to fraction form
    252,776/550,188 = 550,188/x
  3. Step 3: Cross multiply
    252,776x = 550,188 × 550,188
  4. Step 4: Simplify right side
    252,776x = 302,706,835,344
  5. Step 5: Solve for x
    x = 302,706,835,344/252,776
  6. Step 6: Final answer
    x = 1,197,529.97

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.