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Finding the Third Proportional to 220.69 and 518.99

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Solution

The third proportional to 220.69 and 518.99 is: 1,220.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    220.69 : 518.99 = 518.99 : x
  2. Step 2: Convert to fraction form
    220.69/518.99 = 518.99/x
  3. Step 3: Cross multiply
    220.69x = 518.99 × 518.99
  4. Step 4: Simplify right side
    220.69x = 269,345.80
  5. Step 5: Solve for x
    x = 269,345.80/220.69
  6. Step 6: Final answer
    x = 1,220.45

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.