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Finding the Third Proportional to 84,215,578 and 126,945,466

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Solution

The third proportional to 84,215,578 and 126,945,466 is: 191,355,942.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,215,578 : 126,945,466 = 126,945,466 : x
  2. Step 2: Convert to fraction form
    84,215,578/126,945,466 = 126,945,466/x
  3. Step 3: Cross multiply
    84,215,578x = 126,945,466 × 126,945,466
  4. Step 4: Simplify right side
    84,215,578x = 16,115,151,337,957,156
  5. Step 5: Solve for x
    x = 16,115,151,337,957,156/84,215,578
  6. Step 6: Final answer
    x = 191,355,942.93

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.