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Finding the Third Proportional to 728.16 and 1,107.84

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Solution

The third proportional to 728.16 and 1,107.84 is: 1,685.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    728.16 : 1,107.84 = 1,107.84 : x
  2. Step 2: Convert to fraction form
    728.16/1,107.84 = 1,107.84/x
  3. Step 3: Cross multiply
    728.16x = 1,107.84 × 1,107.84
  4. Step 4: Simplify right side
    728.16x = 1,227,317.77
  5. Step 5: Solve for x
    x = 1,227,317.77/728.16
  6. Step 6: Final answer
    x = 1,685.51

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.