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Finding the Third Proportional to 206,947,278 and 450,636,155

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Solution

The third proportional to 206,947,278 and 450,636,155 is: 981,278,643.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,947,278 : 450,636,155 = 450,636,155 : x
  2. Step 2: Convert to fraction form
    206,947,278/450,636,155 = 450,636,155/x
  3. Step 3: Cross multiply
    206,947,278x = 450,636,155 × 450,636,155
  4. Step 4: Simplify right side
    206,947,278x = 203,072,944,193,184,032
  5. Step 5: Solve for x
    x = 203,072,944,193,184,032/206,947,278
  6. Step 6: Final answer
    x = 981,278,643.31

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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.