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Finding the Third Proportional to 39,456 and 57,717

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Solution

The third proportional to 39,456 and 57,717 is: 84,429.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,456 : 57,717 = 57,717 : x
  2. Step 2: Convert to fraction form
    39,456/57,717 = 57,717/x
  3. Step 3: Cross multiply
    39,456x = 57,717 × 57,717
  4. Step 4: Simplify right side
    39,456x = 3,331,252,089
  5. Step 5: Solve for x
    x = 3,331,252,089/39,456
  6. Step 6: Final answer
    x = 84,429.54

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.