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Finding the Third Proportional to 63,481 and 139,416

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Solution

The third proportional to 63,481 and 139,416 is: 306,183.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,481 : 139,416 = 139,416 : x
  2. Step 2: Convert to fraction form
    63,481/139,416 = 139,416/x
  3. Step 3: Cross multiply
    63,481x = 139,416 × 139,416
  4. Step 4: Simplify right side
    63,481x = 19,436,821,056
  5. Step 5: Solve for x
    x = 19,436,821,056/63,481
  6. Step 6: Final answer
    x = 306,183.28

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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.