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Finding the Third Proportional to 85,825 and 128,251

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Solution

The third proportional to 85,825 and 128,251 is: 191,649.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,825 : 128,251 = 128,251 : x
  2. Step 2: Convert to fraction form
    85,825/128,251 = 128,251/x
  3. Step 3: Cross multiply
    85,825x = 128,251 × 128,251
  4. Step 4: Simplify right side
    85,825x = 16,448,319,001
  5. Step 5: Solve for x
    x = 16,448,319,001/85,825
  6. Step 6: Final answer
    x = 191,649.51

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.