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Finding the Third Proportional to 86,238 and 128,825

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Solution

The third proportional to 86,238 and 128,825 is: 192,442.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,238 : 128,825 = 128,825 : x
  2. Step 2: Convert to fraction form
    86,238/128,825 = 128,825/x
  3. Step 3: Cross multiply
    86,238x = 128,825 × 128,825
  4. Step 4: Simplify right side
    86,238x = 16,595,880,625
  5. Step 5: Solve for x
    x = 16,595,880,625/86,238
  6. Step 6: Final answer
    x = 192,442.78

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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.