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Finding the Third Proportional to 546,100 and 826,782

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Solution

The third proportional to 546,100 and 826,782 is: 1,251,727.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    546,100 : 826,782 = 826,782 : x
  2. Step 2: Convert to fraction form
    546,100/826,782 = 826,782/x
  3. Step 3: Cross multiply
    546,100x = 826,782 × 826,782
  4. Step 4: Simplify right side
    546,100x = 683,568,475,524
  5. Step 5: Solve for x
    x = 683,568,475,524/546,100
  6. Step 6: Final answer
    x = 1,251,727.66

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.