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Finding the Third Proportional to 311,086,512 and 666,545,220

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Solution

The third proportional to 311,086,512 and 666,545,220 is: 1,428,163,913.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,086,512 : 666,545,220 = 666,545,220 : x
  2. Step 2: Convert to fraction form
    311,086,512/666,545,220 = 666,545,220/x
  3. Step 3: Cross multiply
    311,086,512x = 666,545,220 × 666,545,220
  4. Step 4: Simplify right side
    311,086,512x = 444,282,530,304,848,384
  5. Step 5: Solve for x
    x = 444,282,530,304,848,384/311,086,512
  6. Step 6: Final answer
    x = 1,428,163,913.15

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.