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Finding the Third Proportional to 26,690 and 42,994

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Solution

The third proportional to 26,690 and 42,994 is: 69,257.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,690 : 42,994 = 42,994 : x
  2. Step 2: Convert to fraction form
    26,690/42,994 = 42,994/x
  3. Step 3: Cross multiply
    26,690x = 42,994 × 42,994
  4. Step 4: Simplify right side
    26,690x = 1,848,484,036
  5. Step 5: Solve for x
    x = 1,848,484,036/26,690
  6. Step 6: Final answer
    x = 69,257.55

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.