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Finding the Third Proportional to 199,555.50 and 408,432

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Solution

The third proportional to 199,555.50 and 408,432 is: 835,941.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,555.50 : 408,432 = 408,432 : x
  2. Step 2: Convert to fraction form
    199,555.50/408,432 = 408,432/x
  3. Step 3: Cross multiply
    199,555.50x = 408,432 × 408,432
  4. Step 4: Simplify right side
    199,555.50x = 166,816,698,624
  5. Step 5: Solve for x
    x = 166,816,698,624/199,555.50
  6. Step 6: Final answer
    x = 835,941.37

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.