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Finding the Third Proportional to 219.56 and 341.69

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Solution

The third proportional to 219.56 and 341.69 is: 531.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    219.56 : 341.69 = 341.69 : x
  2. Step 2: Convert to fraction form
    219.56/341.69 = 341.69/x
  3. Step 3: Cross multiply
    219.56x = 341.69 × 341.69
  4. Step 4: Simplify right side
    219.56x = 116,750.35
  5. Step 5: Solve for x
    x = 116,750.35/219.56
  6. Step 6: Final answer
    x = 531.74

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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.