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Finding the Third Proportional to 221.29 and 484.58

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Solution

The third proportional to 221.29 and 484.58 is: 1,061.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    221.29 : 484.58 = 484.58 : x
  2. Step 2: Convert to fraction form
    221.29/484.58 = 484.58/x
  3. Step 3: Cross multiply
    221.29x = 484.58 × 484.58
  4. Step 4: Simplify right side
    221.29x = 234,814.07
  5. Step 5: Solve for x
    x = 234,814.07/221.29
  6. Step 6: Final answer
    x = 1,061.13

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.