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Finding the Third Proportional to 419,567 and 645,278.50

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Solution

The third proportional to 419,567 and 645,278.50 is: 992,414.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,567 : 645,278.50 = 645,278.50 : x
  2. Step 2: Convert to fraction form
    419,567/645,278.50 = 645,278.50/x
  3. Step 3: Cross multiply
    419,567x = 645,278.50 × 645,278.50
  4. Step 4: Simplify right side
    419,567x = 416,384,342,562.25
  5. Step 5: Solve for x
    x = 416,384,342,562.25/419,567
  6. Step 6: Final answer
    x = 992,414.42

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.