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Finding the Third Proportional to 248.34 and 546.47

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Solution

The third proportional to 248.34 and 546.47 is: 1,202.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    248.34 : 546.47 = 546.47 : x
  2. Step 2: Convert to fraction form
    248.34/546.47 = 546.47/x
  3. Step 3: Cross multiply
    248.34x = 546.47 × 546.47
  4. Step 4: Simplify right side
    248.34x = 298,628.09
  5. Step 5: Solve for x
    x = 298,628.09/248.34
  6. Step 6: Final answer
    x = 1,202.48

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.