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Finding the Third Proportional to 85,238 and 127,858

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Solution

The third proportional to 85,238 and 127,858 is: 191,788.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,238 : 127,858 = 127,858 : x
  2. Step 2: Convert to fraction form
    85,238/127,858 = 127,858/x
  3. Step 3: Cross multiply
    85,238x = 127,858 × 127,858
  4. Step 4: Simplify right side
    85,238x = 16,347,668,164
  5. Step 5: Solve for x
    x = 16,347,668,164/85,238
  6. Step 6: Final answer
    x = 191,788.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.