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Finding the Third Proportional to 81,870,672.38 and 177,555,007.13

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Solution

The third proportional to 81,870,672.38 and 177,555,007.13 is: 385,068,054.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,870,672.38 : 177,555,007.13 = 177,555,007.13 : x
  2. Step 2: Convert to fraction form
    81,870,672.38/177,555,007.13 = 177,555,007.13/x
  3. Step 3: Cross multiply
    81,870,672.38x = 177,555,007.13 × 177,555,007.13
  4. Step 4: Simplify right side
    81,870,672.38x = 31,525,780,555,158,800
  5. Step 5: Solve for x
    x = 31,525,780,555,158,800/81,870,672.38
  6. Step 6: Final answer
    x = 385,068,054.78

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.