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Finding the Third Proportional to 20,123,978 and 31,381,706

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Solution

The third proportional to 20,123,978 and 31,381,706 is: 48,937,216.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,123,978 : 31,381,706 = 31,381,706 : x
  2. Step 2: Convert to fraction form
    20,123,978/31,381,706 = 31,381,706/x
  3. Step 3: Cross multiply
    20,123,978x = 31,381,706 × 31,381,706
  4. Step 4: Simplify right side
    20,123,978x = 984,811,471,470,436
  5. Step 5: Solve for x
    x = 984,811,471,470,436/20,123,978
  6. Step 6: Final answer
    x = 48,937,216.66

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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.