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Finding the Third Proportional to 42,568 and 68,588

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Solution

The third proportional to 42,568 and 68,588 is: 110,512.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,568 : 68,588 = 68,588 : x
  2. Step 2: Convert to fraction form
    42,568/68,588 = 68,588/x
  3. Step 3: Cross multiply
    42,568x = 68,588 × 68,588
  4. Step 4: Simplify right side
    42,568x = 4,704,313,744
  5. Step 5: Solve for x
    x = 4,704,313,744/42,568
  6. Step 6: Final answer
    x = 110,512.91

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.