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Finding the Third Proportional to 199,531.50 and 408,384.75

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Solution

The third proportional to 199,531.50 and 408,384.75 is: 835,848.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,531.50 : 408,384.75 = 408,384.75 : x
  2. Step 2: Convert to fraction form
    199,531.50/408,384.75 = 408,384.75/x
  3. Step 3: Cross multiply
    199,531.50x = 408,384.75 × 408,384.75
  4. Step 4: Simplify right side
    199,531.50x = 166,778,104,032.56
  5. Step 5: Solve for x
    x = 166,778,104,032.56/199,531.50
  6. Step 6: Final answer
    x = 835,848.50

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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.