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Finding the Third Proportional to 640,518,591 and 1,398,485,886

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Solution

The third proportional to 640,518,591 and 1,398,485,886 is: 3,053,405,163.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    640,518,591 : 1,398,485,886 = 1,398,485,886 : x
  2. Step 2: Convert to fraction form
    640,518,591/1,398,485,886 = 1,398,485,886/x
  3. Step 3: Cross multiply
    640,518,591x = 1,398,485,886 × 1,398,485,886
  4. Step 4: Simplify right side
    640,518,591x = 1,955,762,773,341,204,992
  5. Step 5: Solve for x
    x = 1,955,762,773,341,204,992/640,518,591
  6. Step 6: Final answer
    x = 3,053,405,163.91

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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.