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Finding the Third Proportional to 206,947,279 and 450,636,157

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Solution

The third proportional to 206,947,279 and 450,636,157 is: 981,278,647.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,947,279 : 450,636,157 = 450,636,157 : x
  2. Step 2: Convert to fraction form
    206,947,279/450,636,157 = 450,636,157/x
  3. Step 3: Cross multiply
    206,947,279x = 450,636,157 × 450,636,157
  4. Step 4: Simplify right side
    206,947,279x = 203,072,945,995,728,640
  5. Step 5: Solve for x
    x = 203,072,945,995,728,640/206,947,279
  6. Step 6: Final answer
    x = 981,278,647.28

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.