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Finding the Third Proportional to 291,568 and 640,208

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Solution

The third proportional to 291,568 and 640,208 is: 1,405,731.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,568 : 640,208 = 640,208 : x
  2. Step 2: Convert to fraction form
    291,568/640,208 = 640,208/x
  3. Step 3: Cross multiply
    291,568x = 640,208 × 640,208
  4. Step 4: Simplify right side
    291,568x = 409,866,283,264
  5. Step 5: Solve for x
    x = 409,866,283,264/291,568
  6. Step 6: Final answer
    x = 1,405,731.37

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.