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Finding the Third Proportional to 63,564 and 139,823

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Solution

The third proportional to 63,564 and 139,823 is: 307,571.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,564 : 139,823 = 139,823 : x
  2. Step 2: Convert to fraction form
    63,564/139,823 = 139,823/x
  3. Step 3: Cross multiply
    63,564x = 139,823 × 139,823
  4. Step 4: Simplify right side
    63,564x = 19,550,471,329
  5. Step 5: Solve for x
    x = 19,550,471,329/63,564
  6. Step 6: Final answer
    x = 307,571.44

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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.