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Finding the Third Proportional to 6,100,338 and 13,146,192

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Solution

The third proportional to 6,100,338 and 13,146,192 is: 28,329,965.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,100,338 : 13,146,192 = 13,146,192 : x
  2. Step 2: Convert to fraction form
    6,100,338/13,146,192 = 13,146,192/x
  3. Step 3: Cross multiply
    6,100,338x = 13,146,192 × 13,146,192
  4. Step 4: Simplify right side
    6,100,338x = 172,822,364,100,864
  5. Step 5: Solve for x
    x = 172,822,364,100,864/6,100,338
  6. Step 6: Final answer
    x = 28,329,965.34

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.