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Finding the Third Proportional to 133,638.50 and 199,803

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Solution

The third proportional to 133,638.50 and 199,803 is: 298,725.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,638.50 : 199,803 = 199,803 : x
  2. Step 2: Convert to fraction form
    133,638.50/199,803 = 199,803/x
  3. Step 3: Cross multiply
    133,638.50x = 199,803 × 199,803
  4. Step 4: Simplify right side
    133,638.50x = 39,921,238,809
  5. Step 5: Solve for x
    x = 39,921,238,809/133,638.50
  6. Step 6: Final answer
    x = 298,725.58

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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.