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Finding the Third Proportional to 568,413 and 858,510

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Solution

The third proportional to 568,413 and 858,510 is: 1,296,661.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    568,413 : 858,510 = 858,510 : x
  2. Step 2: Convert to fraction form
    568,413/858,510 = 858,510/x
  3. Step 3: Cross multiply
    568,413x = 858,510 × 858,510
  4. Step 4: Simplify right side
    568,413x = 737,039,420,100
  5. Step 5: Solve for x
    x = 737,039,420,100/568,413
  6. Step 6: Final answer
    x = 1,296,661.79

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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.