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Finding the Third Proportional to 64.64 and 140.68

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Solution

The third proportional to 64.64 and 140.68 is: 306.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    64.64 : 140.68 = 140.68 : x
  2. Step 2: Convert to fraction form
    64.64/140.68 = 140.68/x
  3. Step 3: Cross multiply
    64.64x = 140.68 × 140.68
  4. Step 4: Simplify right side
    64.64x = 19,790.77
  5. Step 5: Solve for x
    x = 19,790.77/64.64
  6. Step 6: Final answer
    x = 306.17

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.