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Finding the Third Proportional to 64.81 and 140.31

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Solution

The third proportional to 64.81 and 140.31 is: 303.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    64.81 : 140.31 = 140.31 : x
  2. Step 2: Convert to fraction form
    64.81/140.31 = 140.31/x
  3. Step 3: Cross multiply
    64.81x = 140.31 × 140.31
  4. Step 4: Simplify right side
    64.81x = 19,687.60
  5. Step 5: Solve for x
    x = 19,687.60/64.81
  6. Step 6: Final answer
    x = 303.76

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.