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Finding the Third Proportional to 84,722 and 181,078

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Solution

The third proportional to 84,722 and 181,078 is: 387,021.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,722 : 181,078 = 181,078 : x
  2. Step 2: Convert to fraction form
    84,722/181,078 = 181,078/x
  3. Step 3: Cross multiply
    84,722x = 181,078 × 181,078
  4. Step 4: Simplify right side
    84,722x = 32,789,242,084
  5. Step 5: Solve for x
    x = 32,789,242,084/84,722
  6. Step 6: Final answer
    x = 387,021.58

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.