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Finding the Third Proportional to 978 and 1,462.13

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Solution

The third proportional to 978 and 1,462.13 is: 2,185.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    978 : 1,462.13 = 1,462.13 : x
  2. Step 2: Convert to fraction form
    978/1,462.13 = 1,462.13/x
  3. Step 3: Cross multiply
    978x = 1,462.13 × 1,462.13
  4. Step 4: Simplify right side
    978x = 2,137,809.52
  5. Step 5: Solve for x
    x = 2,137,809.52/978
  6. Step 6: Final answer
    x = 2,185.90

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.