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Finding the Third Proportional to 134.48 and 291.61

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Solution

The third proportional to 134.48 and 291.61 is: 632.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    134.48 : 291.61 = 291.61 : x
  2. Step 2: Convert to fraction form
    134.48/291.61 = 291.61/x
  3. Step 3: Cross multiply
    134.48x = 291.61 × 291.61
  4. Step 4: Simplify right side
    134.48x = 85,036.03
  5. Step 5: Solve for x
    x = 85,036.03/134.48
  6. Step 6: Final answer
    x = 632.31

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.