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Finding the Third Proportional to 252,154 and 378,498

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Solution

The third proportional to 252,154 and 378,498 is: 568,147.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,154 : 378,498 = 378,498 : x
  2. Step 2: Convert to fraction form
    252,154/378,498 = 378,498/x
  3. Step 3: Cross multiply
    252,154x = 378,498 × 378,498
  4. Step 4: Simplify right side
    252,154x = 143,260,736,004
  5. Step 5: Solve for x
    x = 143,260,736,004/252,154
  6. Step 6: Final answer
    x = 568,147.78

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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.