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Finding the Third Proportional to 219.61 and 479.77

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Solution

The third proportional to 219.61 and 479.77 is: 1,048.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    219.61 : 479.77 = 479.77 : x
  2. Step 2: Convert to fraction form
    219.61/479.77 = 479.77/x
  3. Step 3: Cross multiply
    219.61x = 479.77 × 479.77
  4. Step 4: Simplify right side
    219.61x = 230,175.05
  5. Step 5: Solve for x
    x = 230,175.05/219.61
  6. Step 6: Final answer
    x = 1,048.11

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.