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Finding the Third Proportional to 378,374 and 567,615

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Solution

The third proportional to 378,374 and 567,615 is: 851,503.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,374 : 567,615 = 567,615 : x
  2. Step 2: Convert to fraction form
    378,374/567,615 = 567,615/x
  3. Step 3: Cross multiply
    378,374x = 567,615 × 567,615
  4. Step 4: Simplify right side
    378,374x = 322,186,788,225
  5. Step 5: Solve for x
    x = 322,186,788,225/378,374
  6. Step 6: Final answer
    x = 851,503.51

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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.