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Finding the Third Proportional to 230.77 and 354.80

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Solution

The third proportional to 230.77 and 354.80 is: 545.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    230.77 : 354.80 = 354.80 : x
  2. Step 2: Convert to fraction form
    230.77/354.80 = 354.80/x
  3. Step 3: Cross multiply
    230.77x = 354.80 × 354.80
  4. Step 4: Simplify right side
    230.77x = 125,880.82
  5. Step 5: Solve for x
    x = 125,880.82/230.77
  6. Step 6: Final answer
    x = 545.49

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.