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Finding the Third Proportional to 222,146,627,112 and 338,417,433,972

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Solution

The third proportional to 222,146,627,112 and 338,417,433,972 is: 515,543,994,995.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,146,627,112 : 338,417,433,972 = 338,417,433,972 : x
  2. Step 2: Convert to fraction form
    222,146,627,112/338,417,433,972 = 338,417,433,972/x
  3. Step 3: Cross multiply
    222,146,627,112x = 338,417,433,972 × 338,417,433,972
  4. Step 4: Simplify right side
    222,146,627,112x = 114,526,359,616,192,983,859,200
  5. Step 5: Solve for x
    x = 114,526,359,616,192,983,859,200/222,146,627,112
  6. Step 6: Final answer
    x = 515,543,994,995.94

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.