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Finding the Third Proportional to 190,085 and 408,250

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Solution

The third proportional to 190,085 and 408,250 is: 876,808.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,085 : 408,250 = 408,250 : x
  2. Step 2: Convert to fraction form
    190,085/408,250 = 408,250/x
  3. Step 3: Cross multiply
    190,085x = 408,250 × 408,250
  4. Step 4: Simplify right side
    190,085x = 166,668,062,500
  5. Step 5: Solve for x
    x = 166,668,062,500/190,085
  6. Step 6: Final answer
    x = 876,808.07

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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.