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Finding the Third Proportional to 131,824 and 289,856

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Solution

The third proportional to 131,824 and 289,856 is: 637,338.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,824 : 289,856 = 289,856 : x
  2. Step 2: Convert to fraction form
    131,824/289,856 = 289,856/x
  3. Step 3: Cross multiply
    131,824x = 289,856 × 289,856
  4. Step 4: Simplify right side
    131,824x = 84,016,500,736
  5. Step 5: Solve for x
    x = 84,016,500,736/131,824
  6. Step 6: Final answer
    x = 637,338.43

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.