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Finding the Third Proportional to 29.87 and 59.74

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Solution

The third proportional to 29.87 and 59.74 is: 119.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    29.87 : 59.74 = 59.74 : x
  2. Step 2: Convert to fraction form
    29.87/59.74 = 59.74/x
  3. Step 3: Cross multiply
    29.87x = 59.74 × 59.74
  4. Step 4: Simplify right side
    29.87x = 3,569.44
  5. Step 5: Solve for x
    x = 3,569.44/29.87
  6. Step 6: Final answer
    x = 119.49

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Why These Related Problems?

These problems maintain the same ratio (2.00) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.