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Finding the Third Proportional to 70.88 and 99.35

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Solution

The third proportional to 70.88 and 99.35 is: 139.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    70.88 : 99.35 = 99.35 : x
  2. Step 2: Convert to fraction form
    70.88/99.35 = 99.35/x
  3. Step 3: Cross multiply
    70.88x = 99.35 × 99.35
  4. Step 4: Simplify right side
    70.88x = 9,870.73
  5. Step 5: Solve for x
    x = 9,870.73/70.88
  6. Step 6: Final answer
    x = 139.27

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.