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Finding the Third Proportional to 81,765 and 181,017

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Solution

The third proportional to 81,765 and 181,017 is: 400,747.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,765 : 181,017 = 181,017 : x
  2. Step 2: Convert to fraction form
    81,765/181,017 = 181,017/x
  3. Step 3: Cross multiply
    81,765x = 181,017 × 181,017
  4. Step 4: Simplify right side
    81,765x = 32,767,154,289
  5. Step 5: Solve for x
    x = 32,767,154,289/81,765
  6. Step 6: Final answer
    x = 400,747.93

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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.