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Finding the Third Proportional to 640,474 and 1,375,922

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Solution

The third proportional to 640,474 and 1,375,922 is: 2,955,875.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    640,474 : 1,375,922 = 1,375,922 : x
  2. Step 2: Convert to fraction form
    640,474/1,375,922 = 1,375,922/x
  3. Step 3: Cross multiply
    640,474x = 1,375,922 × 1,375,922
  4. Step 4: Simplify right side
    640,474x = 1,893,161,350,084
  5. Step 5: Solve for x
    x = 1,893,161,350,084/640,474
  6. Step 6: Final answer
    x = 2,955,875.41

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.