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Finding the Third Proportional to 199,877.50 and 303,909

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Solution

The third proportional to 199,877.50 and 303,909 is: 462,086.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,877.50 : 303,909 = 303,909 : x
  2. Step 2: Convert to fraction form
    199,877.50/303,909 = 303,909/x
  3. Step 3: Cross multiply
    199,877.50x = 303,909 × 303,909
  4. Step 4: Simplify right side
    199,877.50x = 92,360,680,281
  5. Step 5: Solve for x
    x = 92,360,680,281/199,877.50
  6. Step 6: Final answer
    x = 462,086.43

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.