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Finding the Third Proportional to 208.83 and 482.20

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Solution

The third proportional to 208.83 and 482.20 is: 1,113.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    208.83 : 482.20 = 482.20 : x
  2. Step 2: Convert to fraction form
    208.83/482.20 = 482.20/x
  3. Step 3: Cross multiply
    208.83x = 482.20 × 482.20
  4. Step 4: Simplify right side
    208.83x = 232,519.85
  5. Step 5: Solve for x
    x = 232,519.85/208.83
  6. Step 6: Final answer
    x = 1,113.45

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.