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Finding the Third Proportional to 63,518 and 139,568

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Solution

The third proportional to 63,518 and 139,568 is: 306,672.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,518 : 139,568 = 139,568 : x
  2. Step 2: Convert to fraction form
    63,518/139,568 = 139,568/x
  3. Step 3: Cross multiply
    63,518x = 139,568 × 139,568
  4. Step 4: Simplify right side
    63,518x = 19,479,226,624
  5. Step 5: Solve for x
    x = 19,479,226,624/63,518
  6. Step 6: Final answer
    x = 306,672.54

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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.