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Finding the Third Proportional to 39,976 and 56,951

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Solution

The third proportional to 39,976 and 56,951 is: 81,134.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,976 : 56,951 = 56,951 : x
  2. Step 2: Convert to fraction form
    39,976/56,951 = 56,951/x
  3. Step 3: Cross multiply
    39,976x = 56,951 × 56,951
  4. Step 4: Simplify right side
    39,976x = 3,243,416,401
  5. Step 5: Solve for x
    x = 3,243,416,401/39,976
  6. Step 6: Final answer
    x = 81,134.09

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.