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Finding the Third Proportional to 64.31 and 99.75

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Solution

The third proportional to 64.31 and 99.75 is: 154.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    64.31 : 99.75 = 99.75 : x
  2. Step 2: Convert to fraction form
    64.31/99.75 = 99.75/x
  3. Step 3: Cross multiply
    64.31x = 99.75 × 99.75
  4. Step 4: Simplify right side
    64.31x = 9,950.06
  5. Step 5: Solve for x
    x = 9,950.06/64.31
  6. Step 6: Final answer
    x = 154.71

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.