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Finding the Third Proportional to 121,599,212.25 and 188,215,145.25

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Solution

The third proportional to 121,599,212.25 and 188,215,145.25 is: 291,325,414.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,599,212.25 : 188,215,145.25 = 188,215,145.25 : x
  2. Step 2: Convert to fraction form
    121,599,212.25/188,215,145.25 = 188,215,145.25/x
  3. Step 3: Cross multiply
    121,599,212.25x = 188,215,145.25 × 188,215,145.25
  4. Step 4: Simplify right side
    121,599,212.25x = 35,424,940,901,478,596
  5. Step 5: Solve for x
    x = 35,424,940,901,478,596/121,599,212.25
  6. Step 6: Final answer
    x = 291,325,414.42

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.