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Finding the Third Proportional to 245.50 and 288.21

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Solution

The third proportional to 245.50 and 288.21 is: 338.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    245.50 : 288.21 = 288.21 : x
  2. Step 2: Convert to fraction form
    245.50/288.21 = 288.21/x
  3. Step 3: Cross multiply
    245.50x = 288.21 × 288.21
  4. Step 4: Simplify right side
    245.50x = 83,065.54
  5. Step 5: Solve for x
    x = 83,065.54/245.50
  6. Step 6: Final answer
    x = 338.36

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Why These Related Problems?

These problems maintain the same ratio (1.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.