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Finding the Third Proportional to 39,420 and 57,834

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Solution

The third proportional to 39,420 and 57,834 is: 84,849.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,420 : 57,834 = 57,834 : x
  2. Step 2: Convert to fraction form
    39,420/57,834 = 57,834/x
  3. Step 3: Cross multiply
    39,420x = 57,834 × 57,834
  4. Step 4: Simplify right side
    39,420x = 3,344,771,556
  5. Step 5: Solve for x
    x = 3,344,771,556/39,420
  6. Step 6: Final answer
    x = 84,849.61

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.