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Finding the Third Proportional to 220.22 and 345.52

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Solution

The third proportional to 220.22 and 345.52 is: 542.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    220.22 : 345.52 = 345.52 : x
  2. Step 2: Convert to fraction form
    220.22/345.52 = 345.52/x
  3. Step 3: Cross multiply
    220.22x = 345.52 × 345.52
  4. Step 4: Simplify right side
    220.22x = 119,381.05
  5. Step 5: Solve for x
    x = 119,381.05/220.22
  6. Step 6: Final answer
    x = 542.10

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.