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Finding the Third Proportional to 137.13 and 291.69

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Solution

The third proportional to 137.13 and 291.69 is: 620.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    137.13 : 291.69 = 291.69 : x
  2. Step 2: Convert to fraction form
    137.13/291.69 = 291.69/x
  3. Step 3: Cross multiply
    137.13x = 291.69 × 291.69
  4. Step 4: Simplify right side
    137.13x = 85,081.60
  5. Step 5: Solve for x
    x = 85,081.60/137.13
  6. Step 6: Final answer
    x = 620.47

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.