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Finding the Third Proportional to 20,431,074 and 30,469,436

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Solution

The third proportional to 20,431,074 and 30,469,436 is: 45,439,927.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,431,074 : 30,469,436 = 30,469,436 : x
  2. Step 2: Convert to fraction form
    20,431,074/30,469,436 = 30,469,436/x
  3. Step 3: Cross multiply
    20,431,074x = 30,469,436 × 30,469,436
  4. Step 4: Simplify right side
    20,431,074x = 928,386,530,158,096
  5. Step 5: Solve for x
    x = 928,386,530,158,096/20,431,074
  6. Step 6: Final answer
    x = 45,439,927.93

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.