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Finding the Third Proportional to 687.75 and 1,408.13

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Solution

The third proportional to 687.75 and 1,408.13 is: 2,883.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    687.75 : 1,408.13 = 1,408.13 : x
  2. Step 2: Convert to fraction form
    687.75/1,408.13 = 1,408.13/x
  3. Step 3: Cross multiply
    687.75x = 1,408.13 × 1,408.13
  4. Step 4: Simplify right side
    687.75x = 1,982,816.02
  5. Step 5: Solve for x
    x = 1,982,816.02/687.75
  6. Step 6: Final answer
    x = 2,883.05

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.