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Finding the Third Proportional to 181.31 and 291.91

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Solution

The third proportional to 181.31 and 291.91 is: 469.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    181.31 : 291.91 = 291.91 : x
  2. Step 2: Convert to fraction form
    181.31/291.91 = 291.91/x
  3. Step 3: Cross multiply
    181.31x = 291.91 × 291.91
  4. Step 4: Simplify right side
    181.31x = 85,213.82
  5. Step 5: Solve for x
    x = 85,213.82/181.31
  6. Step 6: Final answer
    x = 469.98

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.