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Finding the Third Proportional to 39,398 and 57,412

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Solution

The third proportional to 39,398 and 57,412 is: 83,662.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,398 : 57,412 = 57,412 : x
  2. Step 2: Convert to fraction form
    39,398/57,412 = 57,412/x
  3. Step 3: Cross multiply
    39,398x = 57,412 × 57,412
  4. Step 4: Simplify right side
    39,398x = 3,296,137,744
  5. Step 5: Solve for x
    x = 3,296,137,744/39,398
  6. Step 6: Final answer
    x = 83,662.57

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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.