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Finding the Third Proportional to 26,867 and 42,209

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Solution

The third proportional to 26,867 and 42,209 is: 66,311.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,867 : 42,209 = 42,209 : x
  2. Step 2: Convert to fraction form
    26,867/42,209 = 42,209/x
  3. Step 3: Cross multiply
    26,867x = 42,209 × 42,209
  4. Step 4: Simplify right side
    26,867x = 1,781,599,681
  5. Step 5: Solve for x
    x = 1,781,599,681/26,867
  6. Step 6: Final answer
    x = 66,311.82

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.