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Finding the Third Proportional to 90,338 and 134,197

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Solution

The third proportional to 90,338 and 134,197 is: 199,349.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,338 : 134,197 = 134,197 : x
  2. Step 2: Convert to fraction form
    90,338/134,197 = 134,197/x
  3. Step 3: Cross multiply
    90,338x = 134,197 × 134,197
  4. Step 4: Simplify right side
    90,338x = 18,008,834,809
  5. Step 5: Solve for x
    x = 18,008,834,809/90,338
  6. Step 6: Final answer
    x = 199,349.50

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.