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Finding the Third Proportional to 457.05 and 698.39

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Solution

The third proportional to 457.05 and 698.39 is: 1,067.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    457.05 : 698.39 = 698.39 : x
  2. Step 2: Convert to fraction form
    457.05/698.39 = 698.39/x
  3. Step 3: Cross multiply
    457.05x = 698.39 × 698.39
  4. Step 4: Simplify right side
    457.05x = 487,745.37
  5. Step 5: Solve for x
    x = 487,745.37/457.05
  6. Step 6: Final answer
    x = 1,067.16

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.