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Finding the Third Proportional to 88.28 and 117.91

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Solution

The third proportional to 88.28 and 117.91 is: 157.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    88.28 : 117.91 = 117.91 : x
  2. Step 2: Convert to fraction form
    88.28/117.91 = 117.91/x
  3. Step 3: Cross multiply
    88.28x = 117.91 × 117.91
  4. Step 4: Simplify right side
    88.28x = 13,903.73
  5. Step 5: Solve for x
    x = 13,903.73/88.28
  6. Step 6: Final answer
    x = 157.50

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.