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Finding the Third Proportional to 20,123,959 and 31,381,680

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Solution

The third proportional to 20,123,959 and 31,381,680 is: 48,937,181.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,123,959 : 31,381,680 = 31,381,680 : x
  2. Step 2: Convert to fraction form
    20,123,959/31,381,680 = 31,381,680/x
  3. Step 3: Cross multiply
    20,123,959x = 31,381,680 × 31,381,680
  4. Step 4: Simplify right side
    20,123,959x = 984,809,839,622,400
  5. Step 5: Solve for x
    x = 984,809,839,622,400/20,123,959
  6. Step 6: Final answer
    x = 48,937,181.78

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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.