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Finding the Third Proportional to 39,678 and 85,484

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Solution

The third proportional to 39,678 and 85,484 is: 184,170.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,678 : 85,484 = 85,484 : x
  2. Step 2: Convert to fraction form
    39,678/85,484 = 85,484/x
  3. Step 3: Cross multiply
    39,678x = 85,484 × 85,484
  4. Step 4: Simplify right side
    39,678x = 7,307,514,256
  5. Step 5: Solve for x
    x = 7,307,514,256/39,678
  6. Step 6: Final answer
    x = 184,170.43

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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.