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Finding the Third Proportional to 90.70 and 140.70

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Solution

The third proportional to 90.70 and 140.70 is: 218.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    90.70 : 140.70 = 140.70 : x
  2. Step 2: Convert to fraction form
    90.70/140.70 = 140.70/x
  3. Step 3: Cross multiply
    90.70x = 140.70 × 140.70
  4. Step 4: Simplify right side
    90.70x = 19,795.17
  5. Step 5: Solve for x
    x = 19,795.17/90.70
  6. Step 6: Final answer
    x = 218.24

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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.