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Finding the Third Proportional to 190,470 and 279,801

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Solution

The third proportional to 190,470 and 279,801 is: 411,028.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,470 : 279,801 = 279,801 : x
  2. Step 2: Convert to fraction form
    190,470/279,801 = 279,801/x
  3. Step 3: Cross multiply
    190,470x = 279,801 × 279,801
  4. Step 4: Simplify right side
    190,470x = 78,288,599,601
  5. Step 5: Solve for x
    x = 78,288,599,601/190,470
  6. Step 6: Final answer
    x = 411,028.51

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.