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Finding the Third Proportional to 220.83 and 325.11

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Solution

The third proportional to 220.83 and 325.11 is: 478.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    220.83 : 325.11 = 325.11 : x
  2. Step 2: Convert to fraction form
    220.83/325.11 = 325.11/x
  3. Step 3: Cross multiply
    220.83x = 325.11 × 325.11
  4. Step 4: Simplify right side
    220.83x = 105,694.84
  5. Step 5: Solve for x
    x = 105,694.84/220.83
  6. Step 6: Final answer
    x = 478.64

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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.