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Finding the Third Proportional to 252,668 and 561,388

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Solution

The third proportional to 252,668 and 561,388 is: 1,247,314.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,668 : 561,388 = 561,388 : x
  2. Step 2: Convert to fraction form
    252,668/561,388 = 561,388/x
  3. Step 3: Cross multiply
    252,668x = 561,388 × 561,388
  4. Step 4: Simplify right side
    252,668x = 315,156,486,544
  5. Step 5: Solve for x
    x = 315,156,486,544/252,668
  6. Step 6: Final answer
    x = 1,247,314.60

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.