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Finding the Third Proportional to 81,628,324.88 and 177,605,010

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Solution

The third proportional to 81,628,324.88 and 177,605,010 is: 386,428,848.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,628,324.88 : 177,605,010 = 177,605,010 : x
  2. Step 2: Convert to fraction form
    81,628,324.88/177,605,010 = 177,605,010/x
  3. Step 3: Cross multiply
    81,628,324.88x = 177,605,010 × 177,605,010
  4. Step 4: Simplify right side
    81,628,324.88x = 31,543,539,577,100,100
  5. Step 5: Solve for x
    x = 31,543,539,577,100,100/81,628,324.88
  6. Step 6: Final answer
    x = 386,428,848.39

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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.