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Finding the Third Proportional to 137.76 and 291.53

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Solution

The third proportional to 137.76 and 291.53 is: 616.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    137.76 : 291.53 = 291.53 : x
  2. Step 2: Convert to fraction form
    137.76/291.53 = 291.53/x
  3. Step 3: Cross multiply
    137.76x = 291.53 × 291.53
  4. Step 4: Simplify right side
    137.76x = 84,989.05
  5. Step 5: Solve for x
    x = 84,989.05/137.76
  6. Step 6: Final answer
    x = 616.96

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.