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Finding the Third Proportional to 568,404 and 858,509

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Solution

The third proportional to 568,404 and 858,509 is: 1,296,679.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    568,404 : 858,509 = 858,509 : x
  2. Step 2: Convert to fraction form
    568,404/858,509 = 858,509/x
  3. Step 3: Cross multiply
    568,404x = 858,509 × 858,509
  4. Step 4: Simplify right side
    568,404x = 737,037,703,081
  5. Step 5: Solve for x
    x = 737,037,703,081/568,404
  6. Step 6: Final answer
    x = 1,296,679.30

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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.