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Finding the Third Proportional to 68,858,418.94 and 145,488,340.69

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Solution

The third proportional to 68,858,418.94 and 145,488,340.69 is: 307,396,794.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,858,418.94 : 145,488,340.69 = 145,488,340.69 : x
  2. Step 2: Convert to fraction form
    68,858,418.94/145,488,340.69 = 145,488,340.69/x
  3. Step 3: Cross multiply
    68,858,418.94x = 145,488,340.69 × 145,488,340.69
  4. Step 4: Simplify right side
    68,858,418.94x = 21,166,857,276,002,068
  5. Step 5: Solve for x
    x = 21,166,857,276,002,068/68,858,418.94
  6. Step 6: Final answer
    x = 307,396,794.79

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.