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Finding the Third Proportional to 231.61 and 501.61

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Solution

The third proportional to 231.61 and 501.61 is: 1,086.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    231.61 : 501.61 = 501.61 : x
  2. Step 2: Convert to fraction form
    231.61/501.61 = 501.61/x
  3. Step 3: Cross multiply
    231.61x = 501.61 × 501.61
  4. Step 4: Simplify right side
    231.61x = 251,611.97
  5. Step 5: Solve for x
    x = 251,611.97/231.61
  6. Step 6: Final answer
    x = 1,086.36

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.