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Finding the Third Proportional to 641,970 and 993,504

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Solution

The third proportional to 641,970 and 993,504 is: 1,537,533.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    641,970 : 993,504 = 993,504 : x
  2. Step 2: Convert to fraction form
    641,970/993,504 = 993,504/x
  3. Step 3: Cross multiply
    641,970x = 993,504 × 993,504
  4. Step 4: Simplify right side
    641,970x = 987,050,198,016
  5. Step 5: Solve for x
    x = 987,050,198,016/641,970
  6. Step 6: Final answer
    x = 1,537,533.21

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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.