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Finding the Third Proportional to 57,406 and 76,992

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Solution

The third proportional to 57,406 and 76,992 is: 103,260.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,406 : 76,992 = 76,992 : x
  2. Step 2: Convert to fraction form
    57,406/76,992 = 76,992/x
  3. Step 3: Cross multiply
    57,406x = 76,992 × 76,992
  4. Step 4: Simplify right side
    57,406x = 5,927,768,064
  5. Step 5: Solve for x
    x = 5,927,768,064/57,406
  6. Step 6: Final answer
    x = 103,260.43

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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.