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Finding the Third Proportional to 1,180.69 and 1,728.28

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Solution

The third proportional to 1,180.69 and 1,728.28 is: 2,529.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,180.69 : 1,728.28 = 1,728.28 : x
  2. Step 2: Convert to fraction form
    1,180.69/1,728.28 = 1,728.28/x
  3. Step 3: Cross multiply
    1,180.69x = 1,728.28 × 1,728.28
  4. Step 4: Simplify right side
    1,180.69x = 2,986,956.08
  5. Step 5: Solve for x
    x = 2,986,956.08/1,180.69
  6. Step 6: Final answer
    x = 2,529.84

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.