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Finding the Third Proportional to 218,763,227 and 338,625,485

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Solution

The third proportional to 218,763,227 and 338,625,485 is: 524,161,307.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,763,227 : 338,625,485 = 338,625,485 : x
  2. Step 2: Convert to fraction form
    218,763,227/338,625,485 = 338,625,485/x
  3. Step 3: Cross multiply
    218,763,227x = 338,625,485 × 338,625,485
  4. Step 4: Simplify right side
    218,763,227x = 114,667,219,091,485,232
  5. Step 5: Solve for x
    x = 114,667,219,091,485,232/218,763,227
  6. Step 6: Final answer
    x = 524,161,307.47

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.