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Finding the Third Proportional to 541,821 and 858,659

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Solution

The third proportional to 541,821 and 858,659 is: 1,360,772.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    541,821 : 858,659 = 858,659 : x
  2. Step 2: Convert to fraction form
    541,821/858,659 = 858,659/x
  3. Step 3: Cross multiply
    541,821x = 858,659 × 858,659
  4. Step 4: Simplify right side
    541,821x = 737,295,278,281
  5. Step 5: Solve for x
    x = 737,295,278,281/541,821
  6. Step 6: Final answer
    x = 1,360,772.80

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.