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Finding the Third Proportional to 145.34 and 221.91

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Solution

The third proportional to 145.34 and 221.91 is: 338.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    145.34 : 221.91 = 221.91 : x
  2. Step 2: Convert to fraction form
    145.34/221.91 = 221.91/x
  3. Step 3: Cross multiply
    145.34x = 221.91 × 221.91
  4. Step 4: Simplify right side
    145.34x = 49,242.38
  5. Step 5: Solve for x
    x = 49,242.38/145.34
  6. Step 6: Final answer
    x = 338.82

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.