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Finding the Third Proportional to 134,778 and 211,401

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Solution

The third proportional to 134,778 and 211,401 is: 331,585.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,778 : 211,401 = 211,401 : x
  2. Step 2: Convert to fraction form
    134,778/211,401 = 211,401/x
  3. Step 3: Cross multiply
    134,778x = 211,401 × 211,401
  4. Step 4: Simplify right side
    134,778x = 44,690,382,801
  5. Step 5: Solve for x
    x = 44,690,382,801/134,778
  6. Step 6: Final answer
    x = 331,585.15

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.