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Finding the Third Proportional to 81,858,874 and 176,104,916

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Solution

The third proportional to 81,858,874 and 176,104,916 is: 378,858,637.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,858,874 : 176,104,916 = 176,104,916 : x
  2. Step 2: Convert to fraction form
    81,858,874/176,104,916 = 176,104,916/x
  3. Step 3: Cross multiply
    81,858,874x = 176,104,916 × 176,104,916
  4. Step 4: Simplify right side
    81,858,874x = 31,012,941,439,367,056
  5. Step 5: Solve for x
    x = 31,012,941,439,367,056/81,858,874
  6. Step 6: Final answer
    x = 378,858,637.11

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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.