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Finding the Third Proportional to 63.70 and 149.77

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Solution

The third proportional to 63.70 and 149.77 is: 352.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    63.70 : 149.77 = 149.77 : x
  2. Step 2: Convert to fraction form
    63.70/149.77 = 149.77/x
  3. Step 3: Cross multiply
    63.70x = 149.77 × 149.77
  4. Step 4: Simplify right side
    63.70x = 22,429.74
  5. Step 5: Solve for x
    x = 22,429.74/63.70
  6. Step 6: Final answer
    x = 352.10

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.