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Finding the Third Proportional to 248.24 and 490.24

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Solution

The third proportional to 248.24 and 490.24 is: 968.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    248.24 : 490.24 = 490.24 : x
  2. Step 2: Convert to fraction form
    248.24/490.24 = 490.24/x
  3. Step 3: Cross multiply
    248.24x = 490.24 × 490.24
  4. Step 4: Simplify right side
    248.24x = 240,337.40
  5. Step 5: Solve for x
    x = 240,337.40/248.24
  6. Step 6: Final answer
    x = 968.17

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.