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Finding the Third Proportional to 641,922.75 and 993,454.88

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Solution

The third proportional to 641,922.75 and 993,454.88 is: 1,537,494.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    641,922.75 : 993,454.88 = 993,454.88 : x
  2. Step 2: Convert to fraction form
    641,922.75/993,454.88 = 993,454.88/x
  3. Step 3: Cross multiply
    641,922.75x = 993,454.88 × 993,454.88
  4. Step 4: Simplify right side
    641,922.75x = 986,952,588,661.27
  5. Step 5: Solve for x
    x = 986,952,588,661.27/641,922.75
  6. Step 6: Final answer
    x = 1,537,494.33

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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.