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Finding the Third Proportional to 20,431,068 and 30,469,428

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Solution

The third proportional to 20,431,068 and 30,469,428 is: 45,439,917.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,431,068 : 30,469,428 = 30,469,428 : x
  2. Step 2: Convert to fraction form
    20,431,068/30,469,428 = 30,469,428/x
  3. Step 3: Cross multiply
    20,431,068x = 30,469,428 × 30,469,428
  4. Step 4: Simplify right side
    20,431,068x = 928,386,042,647,184
  5. Step 5: Solve for x
    x = 928,386,042,647,184/20,431,068
  6. Step 6: Final answer
    x = 45,439,917.42

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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.