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Finding the Third Proportional to 133,138.50 and 289,605

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Solution

The third proportional to 133,138.50 and 289,605 is: 629,953.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,138.50 : 289,605 = 289,605 : x
  2. Step 2: Convert to fraction form
    133,138.50/289,605 = 289,605/x
  3. Step 3: Cross multiply
    133,138.50x = 289,605 × 289,605
  4. Step 4: Simplify right side
    133,138.50x = 83,871,056,025
  5. Step 5: Solve for x
    x = 83,871,056,025/133,138.50
  6. Step 6: Final answer
    x = 629,953.44

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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.