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Finding the Third Proportional to 252,690 and 378,642

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Solution

The third proportional to 252,690 and 378,642 is: 567,374.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,690 : 378,642 = 378,642 : x
  2. Step 2: Convert to fraction form
    252,690/378,642 = 378,642/x
  3. Step 3: Cross multiply
    252,690x = 378,642 × 378,642
  4. Step 4: Simplify right side
    252,690x = 143,369,764,164
  5. Step 5: Solve for x
    x = 143,369,764,164/252,690
  6. Step 6: Final answer
    x = 567,374.11

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.