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Finding the Third Proportional to 88,546 and 133,153

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Solution

The third proportional to 88,546 and 133,153 is: 200,231.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,546 : 133,153 = 133,153 : x
  2. Step 2: Convert to fraction form
    88,546/133,153 = 133,153/x
  3. Step 3: Cross multiply
    88,546x = 133,153 × 133,153
  4. Step 4: Simplify right side
    88,546x = 17,729,721,409
  5. Step 5: Solve for x
    x = 17,729,721,409/88,546
  6. Step 6: Final answer
    x = 200,231.76

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.