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Finding the Third Proportional to 421,260 and 927,912

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Solution

The third proportional to 421,260 and 927,912 is: 2,043,917.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,260 : 927,912 = 927,912 : x
  2. Step 2: Convert to fraction form
    421,260/927,912 = 927,912/x
  3. Step 3: Cross multiply
    421,260x = 927,912 × 927,912
  4. Step 4: Simplify right side
    421,260x = 861,020,679,744
  5. Step 5: Solve for x
    x = 861,020,679,744/421,260
  6. Step 6: Final answer
    x = 2,043,917.49

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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.