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Finding the Third Proportional to 81,556 and 127,782

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Solution

The third proportional to 81,556 and 127,782 is: 200,208.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,556 : 127,782 = 127,782 : x
  2. Step 2: Convert to fraction form
    81,556/127,782 = 127,782/x
  3. Step 3: Cross multiply
    81,556x = 127,782 × 127,782
  4. Step 4: Simplify right side
    81,556x = 16,328,239,524
  5. Step 5: Solve for x
    x = 16,328,239,524/81,556
  6. Step 6: Final answer
    x = 200,208.93

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.