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Finding the Third Proportional to 81,628,347 and 177,605,055

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Solution

The third proportional to 81,628,347 and 177,605,055 is: 386,428,939.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,628,347 : 177,605,055 = 177,605,055 : x
  2. Step 2: Convert to fraction form
    81,628,347/177,605,055 = 177,605,055/x
  3. Step 3: Cross multiply
    81,628,347x = 177,605,055 × 177,605,055
  4. Step 4: Simplify right side
    81,628,347x = 31,543,555,561,553,024
  5. Step 5: Solve for x
    x = 31,543,555,561,553,024/81,628,347
  6. Step 6: Final answer
    x = 386,428,939.47

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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.