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Finding the Third Proportional to 641,940 and 993,450

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Solution

The third proportional to 641,940 and 993,450 is: 1,537,437.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    641,940 : 993,450 = 993,450 : x
  2. Step 2: Convert to fraction form
    641,940/993,450 = 993,450/x
  3. Step 3: Cross multiply
    641,940x = 993,450 × 993,450
  4. Step 4: Simplify right side
    641,940x = 986,942,902,500
  5. Step 5: Solve for x
    x = 986,942,902,500/641,940
  6. Step 6: Final answer
    x = 1,537,437.93

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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.