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Finding the Third Proportional to 102,785,642 and 222,507,406

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Solution

The third proportional to 102,785,642 and 222,507,406 is: 481,677,642.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,785,642 : 222,507,406 = 222,507,406 : x
  2. Step 2: Convert to fraction form
    102,785,642/222,507,406 = 222,507,406/x
  3. Step 3: Cross multiply
    102,785,642x = 222,507,406 × 222,507,406
  4. Step 4: Simplify right side
    102,785,642x = 49,509,545,724,848,832
  5. Step 5: Solve for x
    x = 49,509,545,724,848,832/102,785,642
  6. Step 6: Final answer
    x = 481,677,642.53

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.