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Finding the Third Proportional to 421,114 and 647,936

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Solution

The third proportional to 421,114 and 647,936 is: 996,929.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,114 : 647,936 = 647,936 : x
  2. Step 2: Convert to fraction form
    421,114/647,936 = 647,936/x
  3. Step 3: Cross multiply
    421,114x = 647,936 × 647,936
  4. Step 4: Simplify right side
    421,114x = 419,821,060,096
  5. Step 5: Solve for x
    x = 419,821,060,096/421,114
  6. Step 6: Final answer
    x = 996,929.72

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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.