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Finding the Third Proportional to 63.70 and 139.64

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Solution

The third proportional to 63.70 and 139.64 is: 306.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    63.70 : 139.64 = 139.64 : x
  2. Step 2: Convert to fraction form
    63.70/139.64 = 139.64/x
  3. Step 3: Cross multiply
    63.70x = 139.64 × 139.64
  4. Step 4: Simplify right side
    63.70x = 19,499.50
  5. Step 5: Solve for x
    x = 19,499.50/63.70
  6. Step 6: Final answer
    x = 306.10

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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.