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Finding the Third Proportional to 640,472 and 1,375,918

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Solution

The third proportional to 640,472 and 1,375,918 is: 2,955,867.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    640,472 : 1,375,918 = 1,375,918 : x
  2. Step 2: Convert to fraction form
    640,472/1,375,918 = 1,375,918/x
  3. Step 3: Cross multiply
    640,472x = 1,375,918 × 1,375,918
  4. Step 4: Simplify right side
    640,472x = 1,893,150,342,724
  5. Step 5: Solve for x
    x = 1,893,150,342,724/640,472
  6. Step 6: Final answer
    x = 2,955,867.46

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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.