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Finding the Third Proportional to 421,108 and 647,927

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Solution

The third proportional to 421,108 and 647,927 is: 996,916.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,108 : 647,927 = 647,927 : x
  2. Step 2: Convert to fraction form
    421,108/647,927 = 647,927/x
  3. Step 3: Cross multiply
    421,108x = 647,927 × 647,927
  4. Step 4: Simplify right side
    421,108x = 419,809,397,329
  5. Step 5: Solve for x
    x = 419,809,397,329/421,108
  6. Step 6: Final answer
    x = 996,916.22

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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.