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Finding the Third Proportional to 99,603 and 149,781

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Solution

The third proportional to 99,603 and 149,781 is: 225,237.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,603 : 149,781 = 149,781 : x
  2. Step 2: Convert to fraction form
    99,603/149,781 = 149,781/x
  3. Step 3: Cross multiply
    99,603x = 149,781 × 149,781
  4. Step 4: Simplify right side
    99,603x = 22,434,347,961
  5. Step 5: Solve for x
    x = 22,434,347,961/99,603
  6. Step 6: Final answer
    x = 225,237.67

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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.