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Finding the Third Proportional to 146,884,023 and 222,215,163.50

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Solution

The third proportional to 146,884,023 and 222,215,163.50 is: 336,180,735.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,884,023 : 222,215,163.50 = 222,215,163.50 : x
  2. Step 2: Convert to fraction form
    146,884,023/222,215,163.50 = 222,215,163.50/x
  3. Step 3: Cross multiply
    146,884,023x = 222,215,163.50 × 222,215,163.50
  4. Step 4: Simplify right side
    146,884,023x = 49,379,578,889,331,736
  5. Step 5: Solve for x
    x = 49,379,578,889,331,736/146,884,023
  6. Step 6: Final answer
    x = 336,180,735.53

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.