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Finding the Third Proportional to 56,809 and 87,873

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Solution

The third proportional to 56,809 and 87,873 is: 135,923.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,809 : 87,873 = 87,873 : x
  2. Step 2: Convert to fraction form
    56,809/87,873 = 87,873/x
  3. Step 3: Cross multiply
    56,809x = 87,873 × 87,873
  4. Step 4: Simplify right side
    56,809x = 7,721,664,129
  5. Step 5: Solve for x
    x = 7,721,664,129/56,809
  6. Step 6: Final answer
    x = 135,923.25

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.