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Finding the Third Proportional to 90,848 and 139,200

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Solution

The third proportional to 90,848 and 139,200 is: 213,286.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,848 : 139,200 = 139,200 : x
  2. Step 2: Convert to fraction form
    90,848/139,200 = 139,200/x
  3. Step 3: Cross multiply
    90,848x = 139,200 × 139,200
  4. Step 4: Simplify right side
    90,848x = 19,376,640,000
  5. Step 5: Solve for x
    x = 19,376,640,000/90,848
  6. Step 6: Final answer
    x = 213,286.37

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.