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Finding the Third Proportional to 81,776 and 181,022

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Solution

The third proportional to 81,776 and 181,022 is: 400,716.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,776 : 181,022 = 181,022 : x
  2. Step 2: Convert to fraction form
    81,776/181,022 = 181,022/x
  3. Step 3: Cross multiply
    81,776x = 181,022 × 181,022
  4. Step 4: Simplify right side
    81,776x = 32,768,964,484
  5. Step 5: Solve for x
    x = 32,768,964,484/81,776
  6. Step 6: Final answer
    x = 400,716.16

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.