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Finding the Third Proportional to 978 and 1,626.75

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Solution

The third proportional to 978 and 1,626.75 is: 2,705.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    978 : 1,626.75 = 1,626.75 : x
  2. Step 2: Convert to fraction form
    978/1,626.75 = 1,626.75/x
  3. Step 3: Cross multiply
    978x = 1,626.75 × 1,626.75
  4. Step 4: Simplify right side
    978x = 2,646,315.56
  5. Step 5: Solve for x
    x = 2,646,315.56/978
  6. Step 6: Final answer
    x = 2,705.84

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These problems maintain the same ratio (1.66) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.