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Finding the Third Proportional to 64.97 and 70.17

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Solution

The third proportional to 64.97 and 70.17 is: 75.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    64.97 : 70.17 = 70.17 : x
  2. Step 2: Convert to fraction form
    64.97/70.17 = 70.17/x
  3. Step 3: Cross multiply
    64.97x = 70.17 × 70.17
  4. Step 4: Simplify right side
    64.97x = 4,924.09
  5. Step 5: Solve for x
    x = 4,924.09/64.97
  6. Step 6: Final answer
    x = 75.79

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Why These Related Problems?

These problems maintain the same ratio (1.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.