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Finding the Third Proportional to 421,107 and 647,925

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Solution

The third proportional to 421,107 and 647,925 is: 996,912.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,107 : 647,925 = 647,925 : x
  2. Step 2: Convert to fraction form
    421,107/647,925 = 647,925/x
  3. Step 3: Cross multiply
    421,107x = 647,925 × 647,925
  4. Step 4: Simplify right side
    421,107x = 419,806,805,625
  5. Step 5: Solve for x
    x = 419,806,805,625/421,107
  6. Step 6: Final answer
    x = 996,912.44

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.