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Finding the Third Proportional to 191.91 and 260.58

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Solution

The third proportional to 191.91 and 260.58 is: 353.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    191.91 : 260.58 = 260.58 : x
  2. Step 2: Convert to fraction form
    191.91/260.58 = 260.58/x
  3. Step 3: Cross multiply
    191.91x = 260.58 × 260.58
  4. Step 4: Simplify right side
    191.91x = 67,900.96
  5. Step 5: Solve for x
    x = 67,900.96/191.91
  6. Step 6: Final answer
    x = 353.82

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.