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Finding the Third Proportional to 206,947,278 and 450,636,158

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Solution

The third proportional to 206,947,278 and 450,636,158 is: 981,278,656.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,947,278 : 450,636,158 = 450,636,158 : x
  2. Step 2: Convert to fraction form
    206,947,278/450,636,158 = 450,636,158/x
  3. Step 3: Cross multiply
    206,947,278x = 450,636,158 × 450,636,158
  4. Step 4: Simplify right side
    206,947,278x = 203,072,946,897,000,960
  5. Step 5: Solve for x
    x = 203,072,946,897,000,960/206,947,278
  6. Step 6: Final answer
    x = 981,278,656.38

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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.