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Finding the Third Proportional to 66,928 and 139,401

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Solution

The third proportional to 66,928 and 139,401 is: 290,351.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,928 : 139,401 = 139,401 : x
  2. Step 2: Convert to fraction form
    66,928/139,401 = 139,401/x
  3. Step 3: Cross multiply
    66,928x = 139,401 × 139,401
  4. Step 4: Simplify right side
    66,928x = 19,432,638,801
  5. Step 5: Solve for x
    x = 19,432,638,801/66,928
  6. Step 6: Final answer
    x = 290,351.40

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.