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Finding the Third Proportional to 76,760,196.75 and 181,204,786.13

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Solution

The third proportional to 76,760,196.75 and 181,204,786.13 is: 427,763,032.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,760,196.75 : 181,204,786.13 = 181,204,786.13 : x
  2. Step 2: Convert to fraction form
    76,760,196.75/181,204,786.13 = 181,204,786.13/x
  3. Step 3: Cross multiply
    76,760,196.75x = 181,204,786.13 × 181,204,786.13
  4. Step 4: Simplify right side
    76,760,196.75x = 32,835,174,514,606,992
  5. Step 5: Solve for x
    x = 32,835,174,514,606,992/76,760,196.75
  6. Step 6: Final answer
    x = 427,763,032.21

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These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.