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Finding the Third Proportional to 231.56 and 431.91

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Solution

The third proportional to 231.56 and 431.91 is: 805.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    231.56 : 431.91 = 431.91 : x
  2. Step 2: Convert to fraction form
    231.56/431.91 = 431.91/x
  3. Step 3: Cross multiply
    231.56x = 431.91 × 431.91
  4. Step 4: Simplify right side
    231.56x = 186,543.01
  5. Step 5: Solve for x
    x = 186,543.01/231.56
  6. Step 6: Final answer
    x = 805.58

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Why These Related Problems?

These problems maintain the same ratio (1.87) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.