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Finding the Third Proportional to 190,100.25 and 408,280.50

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Solution

The third proportional to 190,100.25 and 408,280.50 is: 876,868.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,100.25 : 408,280.50 = 408,280.50 : x
  2. Step 2: Convert to fraction form
    190,100.25/408,280.50 = 408,280.50/x
  3. Step 3: Cross multiply
    190,100.25x = 408,280.50 × 408,280.50
  4. Step 4: Simplify right side
    190,100.25x = 166,692,966,680.25
  5. Step 5: Solve for x
    x = 166,692,966,680.25/190,100.25
  6. Step 6: Final answer
    x = 876,868.74

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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.