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Finding the Third Proportional to 221.05 and 325.17

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Solution

The third proportional to 221.05 and 325.17 is: 478.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    221.05 : 325.17 = 325.17 : x
  2. Step 2: Convert to fraction form
    221.05/325.17 = 325.17/x
  3. Step 3: Cross multiply
    221.05x = 325.17 × 325.17
  4. Step 4: Simplify right side
    221.05x = 105,733.41
  5. Step 5: Solve for x
    x = 105,733.41/221.05
  6. Step 6: Final answer
    x = 478.32

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.