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Finding the Third Proportional to 39,025 and 82,911

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Solution

The third proportional to 39,025 and 82,911 is: 176,149.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,025 : 82,911 = 82,911 : x
  2. Step 2: Convert to fraction form
    39,025/82,911 = 82,911/x
  3. Step 3: Cross multiply
    39,025x = 82,911 × 82,911
  4. Step 4: Simplify right side
    39,025x = 6,874,233,921
  5. Step 5: Solve for x
    x = 6,874,233,921/39,025
  6. Step 6: Final answer
    x = 176,149.49

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.