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Finding the Third Proportional to 20,530,098 and 31,777,866

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Solution

The third proportional to 20,530,098 and 31,777,866 is: 49,187,917.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,530,098 : 31,777,866 = 31,777,866 : x
  2. Step 2: Convert to fraction form
    20,530,098/31,777,866 = 31,777,866/x
  3. Step 3: Cross multiply
    20,530,098x = 31,777,866 × 31,777,866
  4. Step 4: Simplify right side
    20,530,098x = 1,009,832,767,513,956
  5. Step 5: Solve for x
    x = 1,009,832,767,513,956/20,530,098
  6. Step 6: Final answer
    x = 49,187,917.54

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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.