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Finding the Third Proportional to 64.75 and 103.63

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Solution

The third proportional to 64.75 and 103.63 is: 165.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    64.75 : 103.63 = 103.63 : x
  2. Step 2: Convert to fraction form
    64.75/103.63 = 103.63/x
  3. Step 3: Cross multiply
    64.75x = 103.63 × 103.63
  4. Step 4: Simplify right side
    64.75x = 10,738.14
  5. Step 5: Solve for x
    x = 10,738.14/64.75
  6. Step 6: Final answer
    x = 165.84

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.