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Finding the Third Proportional to 63,977 and 139,299

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Solution

The third proportional to 63,977 and 139,299 is: 303,299.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,977 : 139,299 = 139,299 : x
  2. Step 2: Convert to fraction form
    63,977/139,299 = 139,299/x
  3. Step 3: Cross multiply
    63,977x = 139,299 × 139,299
  4. Step 4: Simplify right side
    63,977x = 19,404,211,401
  5. Step 5: Solve for x
    x = 19,404,211,401/63,977
  6. Step 6: Final answer
    x = 303,299.80

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.