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Finding the Third Proportional to 417.56 and 695.44

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Solution

The third proportional to 417.56 and 695.44 is: 1,158.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    417.56 : 695.44 = 695.44 : x
  2. Step 2: Convert to fraction form
    417.56/695.44 = 695.44/x
  3. Step 3: Cross multiply
    417.56x = 695.44 × 695.44
  4. Step 4: Simplify right side
    417.56x = 483,633.32
  5. Step 5: Solve for x
    x = 483,633.32/417.56
  6. Step 6: Final answer
    x = 1,158.23

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.