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Finding the Third Proportional to 101,684,268 and 222,382,314

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Solution

The third proportional to 101,684,268 and 222,382,314 is: 486,347,539.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,684,268 : 222,382,314 = 222,382,314 : x
  2. Step 2: Convert to fraction form
    101,684,268/222,382,314 = 222,382,314/x
  3. Step 3: Cross multiply
    101,684,268x = 222,382,314 × 222,382,314
  4. Step 4: Simplify right side
    101,684,268x = 49,453,893,579,994,592
  5. Step 5: Solve for x
    x = 49,453,893,579,994,592/101,684,268
  6. Step 6: Final answer
    x = 486,347,539.82

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.