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Finding the Third Proportional to 248.20 and 417.30

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Solution

The third proportional to 248.20 and 417.30 is: 701.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    248.20 : 417.30 = 417.30 : x
  2. Step 2: Convert to fraction form
    248.20/417.30 = 417.30/x
  3. Step 3: Cross multiply
    248.20x = 417.30 × 417.30
  4. Step 4: Simplify right side
    248.20x = 174,143.20
  5. Step 5: Solve for x
    x = 174,143.20/248.20
  6. Step 6: Final answer
    x = 701.62

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Why These Related Problems?

These problems maintain the same ratio (1.68) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.