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Finding the Third Proportional to 20,123,991 and 31,381,728

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Solution

The third proportional to 20,123,991 and 31,381,728 is: 48,937,253.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,123,991 : 31,381,728 = 31,381,728 : x
  2. Step 2: Convert to fraction form
    20,123,991/31,381,728 = 31,381,728/x
  3. Step 3: Cross multiply
    20,123,991x = 31,381,728 × 31,381,728
  4. Step 4: Simplify right side
    20,123,991x = 984,812,852,265,984
  5. Step 5: Solve for x
    x = 984,812,852,265,984/20,123,991
  6. Step 6: Final answer
    x = 48,937,253.66

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.