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Finding the Third Proportional to 617.94 and 961.08

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Solution

The third proportional to 617.94 and 961.08 is: 1,494.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    617.94 : 961.08 = 961.08 : x
  2. Step 2: Convert to fraction form
    617.94/961.08 = 961.08/x
  3. Step 3: Cross multiply
    617.94x = 961.08 × 961.08
  4. Step 4: Simplify right side
    617.94x = 923,682.43
  5. Step 5: Solve for x
    x = 923,682.43/617.94
  6. Step 6: Final answer
    x = 1,494.77

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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.