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Finding the Third Proportional to 57,587 and 87,185.75

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Solution

The third proportional to 57,587 and 87,185.75 is: 131,997.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,587 : 87,185.75 = 87,185.75 : x
  2. Step 2: Convert to fraction form
    57,587/87,185.75 = 87,185.75/x
  3. Step 3: Cross multiply
    57,587x = 87,185.75 × 87,185.75
  4. Step 4: Simplify right side
    57,587x = 7,601,355,003.06
  5. Step 5: Solve for x
    x = 7,601,355,003.06/57,587
  6. Step 6: Final answer
    x = 131,997.76

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.