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Finding the Third Proportional to 38,962 and 84,155

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Solution

The third proportional to 38,962 and 84,155 is: 181,768.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,962 : 84,155 = 84,155 : x
  2. Step 2: Convert to fraction form
    38,962/84,155 = 84,155/x
  3. Step 3: Cross multiply
    38,962x = 84,155 × 84,155
  4. Step 4: Simplify right side
    38,962x = 7,082,064,025
  5. Step 5: Solve for x
    x = 7,082,064,025/38,962
  6. Step 6: Final answer
    x = 181,768.49

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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.