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Finding the Third Proportional to 77,905,966 and 166,618,620

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Solution

The third proportional to 77,905,966 and 166,618,620 is: 356,349,660.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,905,966 : 166,618,620 = 166,618,620 : x
  2. Step 2: Convert to fraction form
    77,905,966/166,618,620 = 166,618,620/x
  3. Step 3: Cross multiply
    77,905,966x = 166,618,620 × 166,618,620
  4. Step 4: Simplify right side
    77,905,966x = 27,761,764,530,704,400
  5. Step 5: Solve for x
    x = 27,761,764,530,704,400/77,905,966
  6. Step 6: Final answer
    x = 356,349,660.44

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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.