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Finding the Third Proportional to 230.77 and 337.08

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Solution

The third proportional to 230.77 and 337.08 is: 492.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    230.77 : 337.08 = 337.08 : x
  2. Step 2: Convert to fraction form
    230.77/337.08 = 337.08/x
  3. Step 3: Cross multiply
    230.77x = 337.08 × 337.08
  4. Step 4: Simplify right side
    230.77x = 113,621.66
  5. Step 5: Solve for x
    x = 113,621.66/230.77
  6. Step 6: Final answer
    x = 492.37

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.