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Finding the Third Proportional to 42,780 and 68,923

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Solution

The third proportional to 42,780 and 68,923 is: 111,042.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,780 : 68,923 = 68,923 : x
  2. Step 2: Convert to fraction form
    42,780/68,923 = 68,923/x
  3. Step 3: Cross multiply
    42,780x = 68,923 × 68,923
  4. Step 4: Simplify right side
    42,780x = 4,750,379,929
  5. Step 5: Solve for x
    x = 4,750,379,929/42,780
  6. Step 6: Final answer
    x = 111,042.07

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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.