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Finding the Third Proportional to 640,659,508 and 1,398,752,144

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Solution

The third proportional to 640,659,508 and 1,398,752,144 is: 3,053,896,080.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    640,659,508 : 1,398,752,144 = 1,398,752,144 : x
  2. Step 2: Convert to fraction form
    640,659,508/1,398,752,144 = 1,398,752,144/x
  3. Step 3: Cross multiply
    640,659,508x = 1,398,752,144 × 1,398,752,144
  4. Step 4: Simplify right side
    640,659,508x = 1,956,507,560,344,596,736
  5. Step 5: Solve for x
    x = 1,956,507,560,344,596,736/640,659,508
  6. Step 6: Final answer
    x = 3,053,896,080.39

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.