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Finding the Third Proportional to 39,652 and 57,989

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Solution

The third proportional to 39,652 and 57,989 is: 84,805.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,652 : 57,989 = 57,989 : x
  2. Step 2: Convert to fraction form
    39,652/57,989 = 57,989/x
  3. Step 3: Cross multiply
    39,652x = 57,989 × 57,989
  4. Step 4: Simplify right side
    39,652x = 3,362,724,121
  5. Step 5: Solve for x
    x = 3,362,724,121/39,652
  6. Step 6: Final answer
    x = 84,805.91

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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.