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Finding the Third Proportional to 3,100,986 and 6,577,656

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Solution

The third proportional to 3,100,986 and 6,577,656 is: 13,952,194.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,100,986 : 6,577,656 = 6,577,656 : x
  2. Step 2: Convert to fraction form
    3,100,986/6,577,656 = 6,577,656/x
  3. Step 3: Cross multiply
    3,100,986x = 6,577,656 × 6,577,656
  4. Step 4: Simplify right side
    3,100,986x = 43,265,558,454,336
  5. Step 5: Solve for x
    x = 43,265,558,454,336/3,100,986
  6. Step 6: Final answer
    x = 13,952,194.06

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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.