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Finding the Third Proportional to 640,591 and 1,360,197

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Solution

The third proportional to 640,591 and 1,360,197 is: 2,888,170.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    640,591 : 1,360,197 = 1,360,197 : x
  2. Step 2: Convert to fraction form
    640,591/1,360,197 = 1,360,197/x
  3. Step 3: Cross multiply
    640,591x = 1,360,197 × 1,360,197
  4. Step 4: Simplify right side
    640,591x = 1,850,135,878,809
  5. Step 5: Solve for x
    x = 1,850,135,878,809/640,591
  6. Step 6: Final answer
    x = 2,888,170.27

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.