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Finding the Third Proportional to 81,628,578 and 177,605,442

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Solution

The third proportional to 81,628,578 and 177,605,442 is: 386,429,529.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,628,578 : 177,605,442 = 177,605,442 : x
  2. Step 2: Convert to fraction form
    81,628,578/177,605,442 = 177,605,442/x
  3. Step 3: Cross multiply
    81,628,578x = 177,605,442 × 177,605,442
  4. Step 4: Simplify right side
    81,628,578x = 31,543,693,028,015,364
  5. Step 5: Solve for x
    x = 31,543,693,028,015,364/81,628,578
  6. Step 6: Final answer
    x = 386,429,529.96

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.