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Finding the Third Proportional to 188,678 and 278,697

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Solution

The third proportional to 188,678 and 278,697 is: 411,664.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,678 : 278,697 = 278,697 : x
  2. Step 2: Convert to fraction form
    188,678/278,697 = 278,697/x
  3. Step 3: Cross multiply
    188,678x = 278,697 × 278,697
  4. Step 4: Simplify right side
    188,678x = 77,672,017,809
  5. Step 5: Solve for x
    x = 77,672,017,809/188,678
  6. Step 6: Final answer
    x = 411,664.41

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.