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Finding the Third Proportional to 81,605,016 and 179,241,489

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Solution

The third proportional to 81,605,016 and 179,241,489 is: 393,695,301.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,605,016 : 179,241,489 = 179,241,489 : x
  2. Step 2: Convert to fraction form
    81,605,016/179,241,489 = 179,241,489/x
  3. Step 3: Cross multiply
    81,605,016x = 179,241,489 × 179,241,489
  4. Step 4: Simplify right side
    81,605,016x = 32,127,511,378,937,120
  5. Step 5: Solve for x
    x = 32,127,511,378,937,120/81,605,016
  6. Step 6: Final answer
    x = 393,695,301.51

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.