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Finding the Third Proportional to 26,742 and 42,381

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Solution

The third proportional to 26,742 and 42,381 is: 67,165.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,742 : 42,381 = 42,381 : x
  2. Step 2: Convert to fraction form
    26,742/42,381 = 42,381/x
  3. Step 3: Cross multiply
    26,742x = 42,381 × 42,381
  4. Step 4: Simplify right side
    26,742x = 1,796,149,161
  5. Step 5: Solve for x
    x = 1,796,149,161/26,742
  6. Step 6: Final answer
    x = 67,165.85

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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.