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Finding the Third Proportional to 39,178 and 85,349

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Solution

The third proportional to 39,178 and 85,349 is: 185,932.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,178 : 85,349 = 85,349 : x
  2. Step 2: Convert to fraction form
    39,178/85,349 = 85,349/x
  3. Step 3: Cross multiply
    39,178x = 85,349 × 85,349
  4. Step 4: Simplify right side
    39,178x = 7,284,451,801
  5. Step 5: Solve for x
    x = 7,284,451,801/39,178
  6. Step 6: Final answer
    x = 185,932.20

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.