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Finding the Third Proportional to 640,206 and 1,400,940

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Solution

The third proportional to 640,206 and 1,400,940 is: 3,065,627.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    640,206 : 1,400,940 = 1,400,940 : x
  2. Step 2: Convert to fraction form
    640,206/1,400,940 = 1,400,940/x
  3. Step 3: Cross multiply
    640,206x = 1,400,940 × 1,400,940
  4. Step 4: Simplify right side
    640,206x = 1,962,632,883,600
  5. Step 5: Solve for x
    x = 1,962,632,883,600/640,206
  6. Step 6: Final answer
    x = 3,065,627.13

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.