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Finding the Third Proportional to 26,740 and 42,378

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Solution

The third proportional to 26,740 and 42,378 is: 67,161.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,740 : 42,378 = 42,378 : x
  2. Step 2: Convert to fraction form
    26,740/42,378 = 42,378/x
  3. Step 3: Cross multiply
    26,740x = 42,378 × 42,378
  4. Step 4: Simplify right side
    26,740x = 1,795,894,884
  5. Step 5: Solve for x
    x = 1,795,894,884/26,740
  6. Step 6: Final answer
    x = 67,161.36

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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.