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Finding the Third Proportional to 29.19 and 63.98

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Solution

The third proportional to 29.19 and 63.98 is: 140.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    29.19 : 63.98 = 63.98 : x
  2. Step 2: Convert to fraction form
    29.19/63.98 = 63.98/x
  3. Step 3: Cross multiply
    29.19x = 63.98 × 63.98
  4. Step 4: Simplify right side
    29.19x = 4,093.86
  5. Step 5: Solve for x
    x = 4,093.86/29.19
  6. Step 6: Final answer
    x = 140.26

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.