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Finding the Third Proportional to 643,825.13 and 996,450.75

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Solution

The third proportional to 643,825.13 and 996,450.75 is: 1,542,210.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    643,825.13 : 996,450.75 = 996,450.75 : x
  2. Step 2: Convert to fraction form
    643,825.13/996,450.75 = 996,450.75/x
  3. Step 3: Cross multiply
    643,825.13x = 996,450.75 × 996,450.75
  4. Step 4: Simplify right side
    643,825.13x = 992,914,097,175.56
  5. Step 5: Solve for x
    x = 992,914,097,175.56/643,825.13
  6. Step 6: Final answer
    x = 1,542,210.86

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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.