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Finding the Third Proportional to 26,722 and 42,311

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Solution

The third proportional to 26,722 and 42,311 is: 66,994.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,722 : 42,311 = 42,311 : x
  2. Step 2: Convert to fraction form
    26,722/42,311 = 42,311/x
  3. Step 3: Cross multiply
    26,722x = 42,311 × 42,311
  4. Step 4: Simplify right side
    26,722x = 1,790,220,721
  5. Step 5: Solve for x
    x = 1,790,220,721/26,722
  6. Step 6: Final answer
    x = 66,994.26

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.