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Finding the Third Proportional to 219.66 and 342.80

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Solution

The third proportional to 219.66 and 342.80 is: 534.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    219.66 : 342.80 = 342.80 : x
  2. Step 2: Convert to fraction form
    219.66/342.80 = 342.80/x
  3. Step 3: Cross multiply
    219.66x = 342.80 × 342.80
  4. Step 4: Simplify right side
    219.66x = 117,509.70
  5. Step 5: Solve for x
    x = 117,509.70/219.66
  6. Step 6: Final answer
    x = 534.97

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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.