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Finding the Third Proportional to 145.17 and 221.60

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Solution

The third proportional to 145.17 and 221.60 is: 338.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    145.17 : 221.60 = 221.60 : x
  2. Step 2: Convert to fraction form
    145.17/221.60 = 221.60/x
  3. Step 3: Cross multiply
    145.17x = 221.60 × 221.60
  4. Step 4: Simplify right side
    145.17x = 49,107.25
  5. Step 5: Solve for x
    x = 49,107.25/145.17
  6. Step 6: Final answer
    x = 338.27

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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.