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Finding the Third Proportional to 1,728.42 and 3,118.92

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Solution

The third proportional to 1,728.42 and 3,118.92 is: 5,628.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,728.42 : 3,118.92 = 3,118.92 : x
  2. Step 2: Convert to fraction form
    1,728.42/3,118.92 = 3,118.92/x
  3. Step 3: Cross multiply
    1,728.42x = 3,118.92 × 3,118.92
  4. Step 4: Simplify right side
    1,728.42x = 9,727,673.66
  5. Step 5: Solve for x
    x = 9,727,673.66/1,728.42
  6. Step 6: Final answer
    x = 5,628.07

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Why These Related Problems?

These problems maintain the same ratio (1.80) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.