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Finding the Third Proportional to 206,981,548.50 and 420,045,144

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Solution

The third proportional to 206,981,548.50 and 420,045,144 is: 852,433,099.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,981,548.50 : 420,045,144 = 420,045,144 : x
  2. Step 2: Convert to fraction form
    206,981,548.50/420,045,144 = 420,045,144/x
  3. Step 3: Cross multiply
    206,981,548.50x = 420,045,144 × 420,045,144
  4. Step 4: Simplify right side
    206,981,548.50x = 176,437,922,997,980,736
  5. Step 5: Solve for x
    x = 176,437,922,997,980,736/206,981,548.50
  6. Step 6: Final answer
    x = 852,433,099.84

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.