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Finding the Third Proportional to 20,124,013.50 and 31,381,759.75

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Solution

The third proportional to 20,124,013.50 and 31,381,759.75 is: 48,937,297.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,124,013.50 : 31,381,759.75 = 31,381,759.75 : x
  2. Step 2: Convert to fraction form
    20,124,013.50/31,381,759.75 = 31,381,759.75/x
  3. Step 3: Cross multiply
    20,124,013.50x = 31,381,759.75 × 31,381,759.75
  4. Step 4: Simplify right side
    20,124,013.50x = 984,814,845,006,720
  5. Step 5: Solve for x
    x = 984,814,845,006,720/20,124,013.50
  6. Step 6: Final answer
    x = 48,937,297.97

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