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Finding the Third Proportional to 190,102.50 and 408,285

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Solution

The third proportional to 190,102.50 and 408,285 is: 876,877.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,102.50 : 408,285 = 408,285 : x
  2. Step 2: Convert to fraction form
    190,102.50/408,285 = 408,285/x
  3. Step 3: Cross multiply
    190,102.50x = 408,285 × 408,285
  4. Step 4: Simplify right side
    190,102.50x = 166,696,641,225
  5. Step 5: Solve for x
    x = 166,696,641,225/190,102.50
  6. Step 6: Final answer
    x = 876,877.69

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.