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Finding the Third Proportional to 643,863.75 and 874,452.38

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Solution

The third proportional to 643,863.75 and 874,452.38 is: 1,187,622.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    643,863.75 : 874,452.38 = 874,452.38 : x
  2. Step 2: Convert to fraction form
    643,863.75/874,452.38 = 874,452.38/x
  3. Step 3: Cross multiply
    643,863.75x = 874,452.38 × 874,452.38
  4. Step 4: Simplify right side
    643,863.75x = 764,666,956,143.14
  5. Step 5: Solve for x
    x = 764,666,956,143.14/643,863.75
  6. Step 6: Final answer
    x = 1,187,622.31

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.