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Finding the Third Proportional to 39,121 and 85,410

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Solution

The third proportional to 39,121 and 85,410 is: 186,469.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,121 : 85,410 = 85,410 : x
  2. Step 2: Convert to fraction form
    39,121/85,410 = 85,410/x
  3. Step 3: Cross multiply
    39,121x = 85,410 × 85,410
  4. Step 4: Simplify right side
    39,121x = 7,294,868,100
  5. Step 5: Solve for x
    x = 7,294,868,100/39,121
  6. Step 6: Final answer
    x = 186,469.37

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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.