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Finding the Third Proportional to 57,407 and 76,993

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Solution

The third proportional to 57,407 and 76,993 is: 103,261.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,407 : 76,993 = 76,993 : x
  2. Step 2: Convert to fraction form
    57,407/76,993 = 76,993/x
  3. Step 3: Cross multiply
    57,407x = 76,993 × 76,993
  4. Step 4: Simplify right side
    57,407x = 5,927,922,049
  5. Step 5: Solve for x
    x = 5,927,922,049/57,407
  6. Step 6: Final answer
    x = 103,261.31

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.