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Finding the Third Proportional to 421,272 and 927,936

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Solution

The third proportional to 421,272 and 927,936 is: 2,043,964.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,272 : 927,936 = 927,936 : x
  2. Step 2: Convert to fraction form
    421,272/927,936 = 927,936/x
  3. Step 3: Cross multiply
    421,272x = 927,936 × 927,936
  4. Step 4: Simplify right side
    421,272x = 861,065,220,096
  5. Step 5: Solve for x
    x = 861,065,220,096/421,272
  6. Step 6: Final answer
    x = 2,043,964.99

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.