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Finding the Third Proportional to 640,399 and 1,375,771

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Solution

The third proportional to 640,399 and 1,375,771 is: 2,955,572.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    640,399 : 1,375,771 = 1,375,771 : x
  2. Step 2: Convert to fraction form
    640,399/1,375,771 = 1,375,771/x
  3. Step 3: Cross multiply
    640,399x = 1,375,771 × 1,375,771
  4. Step 4: Simplify right side
    640,399x = 1,892,745,844,441
  5. Step 5: Solve for x
    x = 1,892,745,844,441/640,399
  6. Step 6: Final answer
    x = 2,955,572.77

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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.