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Finding the Third Proportional to 26,978 and 40,708

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Solution

The third proportional to 26,978 and 40,708 is: 61,425.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,978 : 40,708 = 40,708 : x
  2. Step 2: Convert to fraction form
    26,978/40,708 = 40,708/x
  3. Step 3: Cross multiply
    26,978x = 40,708 × 40,708
  4. Step 4: Simplify right side
    26,978x = 1,657,141,264
  5. Step 5: Solve for x
    x = 1,657,141,264/26,978
  6. Step 6: Final answer
    x = 61,425.65

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.