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Finding the Third Proportional to 979.44 and 1,517.64

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Solution

The third proportional to 979.44 and 1,517.64 is: 2,351.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    979.44 : 1,517.64 = 1,517.64 : x
  2. Step 2: Convert to fraction form
    979.44/1,517.64 = 1,517.64/x
  3. Step 3: Cross multiply
    979.44x = 1,517.64 × 1,517.64
  4. Step 4: Simplify right side
    979.44x = 2,303,238.99
  5. Step 5: Solve for x
    x = 2,303,238.99/979.44
  6. Step 6: Final answer
    x = 2,351.60

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.