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Finding the Third Proportional to 190,110 and 408,297

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Solution

The third proportional to 190,110 and 408,297 is: 876,894.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,110 : 408,297 = 408,297 : x
  2. Step 2: Convert to fraction form
    190,110/408,297 = 408,297/x
  3. Step 3: Cross multiply
    190,110x = 408,297 × 408,297
  4. Step 4: Simplify right side
    190,110x = 166,706,440,209
  5. Step 5: Solve for x
    x = 166,706,440,209/190,110
  6. Step 6: Final answer
    x = 876,894.64

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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.