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Finding the Third Proportional to 133,135.50 and 289,599

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Solution

The third proportional to 133,135.50 and 289,599 is: 629,941.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,135.50 : 289,599 = 289,599 : x
  2. Step 2: Convert to fraction form
    133,135.50/289,599 = 289,599/x
  3. Step 3: Cross multiply
    133,135.50x = 289,599 × 289,599
  4. Step 4: Simplify right side
    133,135.50x = 83,867,580,801
  5. Step 5: Solve for x
    x = 83,867,580,801/133,135.50
  6. Step 6: Final answer
    x = 629,941.53

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.