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Finding the Third Proportional to 230.77 and 497.39

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Solution

The third proportional to 230.77 and 497.39 is: 1,072.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    230.77 : 497.39 = 497.39 : x
  2. Step 2: Convert to fraction form
    230.77/497.39 = 497.39/x
  3. Step 3: Cross multiply
    230.77x = 497.39 × 497.39
  4. Step 4: Simplify right side
    230.77x = 247,397.43
  5. Step 5: Solve for x
    x = 247,397.43/230.77
  6. Step 6: Final answer
    x = 1,072.07

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.