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Finding the Third Proportional to 220.78 and 343.55

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Solution

The third proportional to 220.78 and 343.55 is: 534.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    220.78 : 343.55 = 343.55 : x
  2. Step 2: Convert to fraction form
    220.78/343.55 = 343.55/x
  3. Step 3: Cross multiply
    220.78x = 343.55 × 343.55
  4. Step 4: Simplify right side
    220.78x = 118,024.46
  5. Step 5: Solve for x
    x = 118,024.46/220.78
  6. Step 6: Final answer
    x = 534.58

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.