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Finding the Third Proportional to 33,160,866 and 78,168,305

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Solution

The third proportional to 33,160,866 and 78,168,305 is: 184,261,891.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,160,866 : 78,168,305 = 78,168,305 : x
  2. Step 2: Convert to fraction form
    33,160,866/78,168,305 = 78,168,305/x
  3. Step 3: Cross multiply
    33,160,866x = 78,168,305 × 78,168,305
  4. Step 4: Simplify right side
    33,160,866x = 6,110,283,906,573,025
  5. Step 5: Solve for x
    x = 6,110,283,906,573,025/33,160,866
  6. Step 6: Final answer
    x = 184,261,891.91

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.