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Finding the Third Proportional to 219.63 and 259.63

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Solution

The third proportional to 219.63 and 259.63 is: 306.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    219.63 : 259.63 = 259.63 : x
  2. Step 2: Convert to fraction form
    219.63/259.63 = 259.63/x
  3. Step 3: Cross multiply
    219.63x = 259.63 × 259.63
  4. Step 4: Simplify right side
    219.63x = 67,405.14
  5. Step 5: Solve for x
    x = 67,405.14/219.63
  6. Step 6: Final answer
    x = 306.91

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Why These Related Problems?

These problems maintain the same ratio (1.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.