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Finding the Third Proportional to 1,107.84 and 1,728.84

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Solution

The third proportional to 1,107.84 and 1,728.84 is: 2,697.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,107.84 : 1,728.84 = 1,728.84 : x
  2. Step 2: Convert to fraction form
    1,107.84/1,728.84 = 1,728.84/x
  3. Step 3: Cross multiply
    1,107.84x = 1,728.84 × 1,728.84
  4. Step 4: Simplify right side
    1,107.84x = 2,988,900.71
  5. Step 5: Solve for x
    x = 2,988,900.71/1,107.84
  6. Step 6: Final answer
    x = 2,697.94

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.