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Finding the Third Proportional to 1,017.75 and 1,728.19

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Solution

The third proportional to 1,017.75 and 1,728.19 is: 2,934.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,017.75 : 1,728.19 = 1,728.19 : x
  2. Step 2: Convert to fraction form
    1,017.75/1,728.19 = 1,728.19/x
  3. Step 3: Cross multiply
    1,017.75x = 1,728.19 × 1,728.19
  4. Step 4: Simplify right side
    1,017.75x = 2,986,632.04
  5. Step 5: Solve for x
    x = 2,986,632.04/1,017.75
  6. Step 6: Final answer
    x = 2,934.54

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Why These Related Problems?

These problems maintain the same ratio (1.70) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.