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Finding the Third Proportional to 485,474 and 753,771

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Solution

The third proportional to 485,474 and 753,771 is: 1,170,342.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    485,474 : 753,771 = 753,771 : x
  2. Step 2: Convert to fraction form
    485,474/753,771 = 753,771/x
  3. Step 3: Cross multiply
    485,474x = 753,771 × 753,771
  4. Step 4: Simplify right side
    485,474x = 568,170,720,441
  5. Step 5: Solve for x
    x = 568,170,720,441/485,474
  6. Step 6: Final answer
    x = 1,170,342.22

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.