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Finding the Third Proportional to 51,309,328 and 106,864,352

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Solution

The third proportional to 51,309,328 and 106,864,352 is: 222,571,414.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,309,328 : 106,864,352 = 106,864,352 : x
  2. Step 2: Convert to fraction form
    51,309,328/106,864,352 = 106,864,352/x
  3. Step 3: Cross multiply
    51,309,328x = 106,864,352 × 106,864,352
  4. Step 4: Simplify right side
    51,309,328x = 11,419,989,728,379,904
  5. Step 5: Solve for x
    x = 11,419,989,728,379,904/51,309,328
  6. Step 6: Final answer
    x = 222,571,414.86

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.