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Finding the Third Proportional to 84,010 and 181,812

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Solution

The third proportional to 84,010 and 181,812 is: 393,472.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,010 : 181,812 = 181,812 : x
  2. Step 2: Convert to fraction form
    84,010/181,812 = 181,812/x
  3. Step 3: Cross multiply
    84,010x = 181,812 × 181,812
  4. Step 4: Simplify right side
    84,010x = 33,055,603,344
  5. Step 5: Solve for x
    x = 33,055,603,344/84,010
  6. Step 6: Final answer
    x = 393,472.25

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.