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Finding the Third Proportional to 90.70 and 200.39

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Solution

The third proportional to 90.70 and 200.39 is: 442.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    90.70 : 200.39 = 200.39 : x
  2. Step 2: Convert to fraction form
    90.70/200.39 = 200.39/x
  3. Step 3: Cross multiply
    90.70x = 200.39 × 200.39
  4. Step 4: Simplify right side
    90.70x = 40,156.40
  5. Step 5: Solve for x
    x = 40,156.40/90.70
  6. Step 6: Final answer
    x = 442.72

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.