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Finding the Third Proportional to 141.47 and 248.94

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Solution

The third proportional to 141.47 and 248.94 is: 438.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    141.47 : 248.94 = 248.94 : x
  2. Step 2: Convert to fraction form
    141.47/248.94 = 248.94/x
  3. Step 3: Cross multiply
    141.47x = 248.94 × 248.94
  4. Step 4: Simplify right side
    141.47x = 61,969.88
  5. Step 5: Solve for x
    x = 61,969.88/141.47
  6. Step 6: Final answer
    x = 438.05

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Why These Related Problems?

These problems maintain the same ratio (1.76) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.