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Finding the Third Proportional to 84,605 and 181,969

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Solution

The third proportional to 84,605 and 181,969 is: 391,380.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,605 : 181,969 = 181,969 : x
  2. Step 2: Convert to fraction form
    84,605/181,969 = 181,969/x
  3. Step 3: Cross multiply
    84,605x = 181,969 × 181,969
  4. Step 4: Simplify right side
    84,605x = 33,112,716,961
  5. Step 5: Solve for x
    x = 33,112,716,961/84,605
  6. Step 6: Final answer
    x = 391,380.14

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.