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Finding the Third Proportional to 660.13 and 979.94

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Solution

The third proportional to 660.13 and 979.94 is: 1,454.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    660.13 : 979.94 = 979.94 : x
  2. Step 2: Convert to fraction form
    660.13/979.94 = 979.94/x
  3. Step 3: Cross multiply
    660.13x = 979.94 × 979.94
  4. Step 4: Simplify right side
    660.13x = 960,277.50
  5. Step 5: Solve for x
    x = 960,277.50/660.13
  6. Step 6: Final answer
    x = 1,454.69

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.