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Finding the Third Proportional to 641,951 and 993,474

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Solution

The third proportional to 641,951 and 993,474 is: 1,537,485.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    641,951 : 993,474 = 993,474 : x
  2. Step 2: Convert to fraction form
    641,951/993,474 = 993,474/x
  3. Step 3: Cross multiply
    641,951x = 993,474 × 993,474
  4. Step 4: Simplify right side
    641,951x = 986,990,588,676
  5. Step 5: Solve for x
    x = 986,990,588,676/641,951
  6. Step 6: Final answer
    x = 1,537,485.87

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.