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Finding the Third Proportional to 248.88 and 456.69

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Solution

The third proportional to 248.88 and 456.69 is: 838.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    248.88 : 456.69 = 456.69 : x
  2. Step 2: Convert to fraction form
    248.88/456.69 = 456.69/x
  3. Step 3: Cross multiply
    248.88x = 456.69 × 456.69
  4. Step 4: Simplify right side
    248.88x = 208,563.47
  5. Step 5: Solve for x
    x = 208,563.47/248.88
  6. Step 6: Final answer
    x = 838.03

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Why These Related Problems?

These problems maintain the same ratio (1.84) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.