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Finding the Third Proportional to 248 and 383.88

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Solution

The third proportional to 248 and 383.88 is: 594.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    248 : 383.88 = 383.88 : x
  2. Step 2: Convert to fraction form
    248/383.88 = 383.88/x
  3. Step 3: Cross multiply
    248x = 383.88 × 383.88
  4. Step 4: Simplify right side
    248x = 147,360.02
  5. Step 5: Solve for x
    x = 147,360.02/248
  6. Step 6: Final answer
    x = 594.19

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.