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Finding the Third Proportional to 64.75 and 100.94

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Solution

The third proportional to 64.75 and 100.94 is: 157.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    64.75 : 100.94 = 100.94 : x
  2. Step 2: Convert to fraction form
    64.75/100.94 = 100.94/x
  3. Step 3: Cross multiply
    64.75x = 100.94 × 100.94
  4. Step 4: Simplify right side
    64.75x = 10,188.38
  5. Step 5: Solve for x
    x = 10,188.38/64.75
  6. Step 6: Final answer
    x = 157.35

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.