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Finding the Third Proportional to 85,126 and 128,873

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Solution

The third proportional to 85,126 and 128,873 is: 195,101.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,126 : 128,873 = 128,873 : x
  2. Step 2: Convert to fraction form
    85,126/128,873 = 128,873/x
  3. Step 3: Cross multiply
    85,126x = 128,873 × 128,873
  4. Step 4: Simplify right side
    85,126x = 16,608,250,129
  5. Step 5: Solve for x
    x = 16,608,250,129/85,126
  6. Step 6: Final answer
    x = 195,101.97

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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.