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Finding the Third Proportional to 640,397 and 1,375,767

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Solution

The third proportional to 640,397 and 1,375,767 is: 2,955,564.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    640,397 : 1,375,767 = 1,375,767 : x
  2. Step 2: Convert to fraction form
    640,397/1,375,767 = 1,375,767/x
  3. Step 3: Cross multiply
    640,397x = 1,375,767 × 1,375,767
  4. Step 4: Simplify right side
    640,397x = 1,892,734,838,289
  5. Step 5: Solve for x
    x = 1,892,734,838,289/640,397
  6. Step 6: Final answer
    x = 2,955,564.81

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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.