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Finding the Third Proportional to 134.13 and 291.38

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Solution

The third proportional to 134.13 and 291.38 is: 632.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    134.13 : 291.38 = 291.38 : x
  2. Step 2: Convert to fraction form
    134.13/291.38 = 291.38/x
  3. Step 3: Cross multiply
    134.13x = 291.38 × 291.38
  4. Step 4: Simplify right side
    134.13x = 84,899.39
  5. Step 5: Solve for x
    x = 84,899.39/134.13
  6. Step 6: Final answer
    x = 632.99

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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.