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Finding the Third Proportional to 660.94 and 1,017.28

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Solution

The third proportional to 660.94 and 1,017.28 is: 1,565.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    660.94 : 1,017.28 = 1,017.28 : x
  2. Step 2: Convert to fraction form
    660.94/1,017.28 = 1,017.28/x
  3. Step 3: Cross multiply
    660.94x = 1,017.28 × 1,017.28
  4. Step 4: Simplify right side
    660.94x = 1,034,861.14
  5. Step 5: Solve for x
    x = 1,034,861.14/660.94
  6. Step 6: Final answer
    x = 1,565.75

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.