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Finding the Third Proportional to 81,628,344 and 177,605,049

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Solution

The third proportional to 81,628,344 and 177,605,049 is: 386,428,927.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,628,344 : 177,605,049 = 177,605,049 : x
  2. Step 2: Convert to fraction form
    81,628,344/177,605,049 = 177,605,049/x
  3. Step 3: Cross multiply
    81,628,344x = 177,605,049 × 177,605,049
  4. Step 4: Simplify right side
    81,628,344x = 31,543,553,430,292,400
  5. Step 5: Solve for x
    x = 31,543,553,430,292,400/81,628,344
  6. Step 6: Final answer
    x = 386,428,927.56

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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.