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Finding the Third Proportional to 252,720 and 550,638

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Solution

The third proportional to 252,720 and 550,638 is: 1,199,755.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,720 : 550,638 = 550,638 : x
  2. Step 2: Convert to fraction form
    252,720/550,638 = 550,638/x
  3. Step 3: Cross multiply
    252,720x = 550,638 × 550,638
  4. Step 4: Simplify right side
    252,720x = 303,202,207,044
  5. Step 5: Solve for x
    x = 303,202,207,044/252,720
  6. Step 6: Final answer
    x = 1,199,755.49

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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.