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Finding the Third Proportional to 70.31 and 99.56

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Solution

The third proportional to 70.31 and 99.56 is: 140.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    70.31 : 99.56 = 99.56 : x
  2. Step 2: Convert to fraction form
    70.31/99.56 = 99.56/x
  3. Step 3: Cross multiply
    70.31x = 99.56 × 99.56
  4. Step 4: Simplify right side
    70.31x = 9,912.69
  5. Step 5: Solve for x
    x = 9,912.69/70.31
  6. Step 6: Final answer
    x = 140.98

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.