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Finding the Third Proportional to 39,512 and 85,612

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Solution

The third proportional to 39,512 and 85,612 is: 185,498.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,512 : 85,612 = 85,612 : x
  2. Step 2: Convert to fraction form
    39,512/85,612 = 85,612/x
  3. Step 3: Cross multiply
    39,512x = 85,612 × 85,612
  4. Step 4: Simplify right side
    39,512x = 7,329,414,544
  5. Step 5: Solve for x
    x = 7,329,414,544/39,512
  6. Step 6: Final answer
    x = 185,498.44

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.