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Finding the Third Proportional to 641,279 and 901,947

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Solution

The third proportional to 641,279 and 901,947 is: 1,268,571.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    641,279 : 901,947 = 901,947 : x
  2. Step 2: Convert to fraction form
    641,279/901,947 = 901,947/x
  3. Step 3: Cross multiply
    641,279x = 901,947 × 901,947
  4. Step 4: Simplify right side
    641,279x = 813,508,390,809
  5. Step 5: Solve for x
    x = 813,508,390,809/641,279
  6. Step 6: Final answer
    x = 1,268,571.70

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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.