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Finding the Third Proportional to 641,272.50 and 901,937.50

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Solution

The third proportional to 641,272.50 and 901,937.50 is: 1,268,557.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    641,272.50 : 901,937.50 = 901,937.50 : x
  2. Step 2: Convert to fraction form
    641,272.50/901,937.50 = 901,937.50/x
  3. Step 3: Cross multiply
    641,272.50x = 901,937.50 × 901,937.50
  4. Step 4: Simplify right side
    641,272.50x = 813,491,253,906.25
  5. Step 5: Solve for x
    x = 813,491,253,906.25/641,272.50
  6. Step 6: Final answer
    x = 1,268,557.83

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.