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Finding the Third Proportional to 378,980 and 547,516

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Solution

The third proportional to 378,980 and 547,516 is: 791,001.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,980 : 547,516 = 547,516 : x
  2. Step 2: Convert to fraction form
    378,980/547,516 = 547,516/x
  3. Step 3: Cross multiply
    378,980x = 547,516 × 547,516
  4. Step 4: Simplify right side
    378,980x = 299,773,770,256
  5. Step 5: Solve for x
    x = 299,773,770,256/378,980
  6. Step 6: Final answer
    x = 791,001.56

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.