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Finding the Third Proportional to 20,540,147 and 31,787,991

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Solution

The third proportional to 20,540,147 and 31,787,991 is: 49,195,186.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,540,147 : 31,787,991 = 31,787,991 : x
  2. Step 2: Convert to fraction form
    20,540,147/31,787,991 = 31,787,991/x
  3. Step 3: Cross multiply
    20,540,147x = 31,787,991 × 31,787,991
  4. Step 4: Simplify right side
    20,540,147x = 1,010,476,371,816,081
  5. Step 5: Solve for x
    x = 1,010,476,371,816,081/20,540,147
  6. Step 6: Final answer
    x = 49,195,186.96

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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.