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Finding the Third Proportional to 387,759 and 568,122

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Solution

The third proportional to 387,759 and 568,122 is: 832,379.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    387,759 : 568,122 = 568,122 : x
  2. Step 2: Convert to fraction form
    387,759/568,122 = 568,122/x
  3. Step 3: Cross multiply
    387,759x = 568,122 × 568,122
  4. Step 4: Simplify right side
    387,759x = 322,762,606,884
  5. Step 5: Solve for x
    x = 322,762,606,884/387,759
  6. Step 6: Final answer
    x = 832,379.41

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.