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Finding the Third Proportional to 196,814 and 276,169

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Solution

The third proportional to 196,814 and 276,169 is: 387,519.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,814 : 276,169 = 276,169 : x
  2. Step 2: Convert to fraction form
    196,814/276,169 = 276,169/x
  3. Step 3: Cross multiply
    196,814x = 276,169 × 276,169
  4. Step 4: Simplify right side
    196,814x = 76,269,316,561
  5. Step 5: Solve for x
    x = 76,269,316,561/196,814
  6. Step 6: Final answer
    x = 387,519.77

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.