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Finding the Third Proportional to 278,168 and 569,556

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Solution

The third proportional to 278,168 and 569,556 is: 1,166,180.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,168 : 569,556 = 569,556 : x
  2. Step 2: Convert to fraction form
    278,168/569,556 = 569,556/x
  3. Step 3: Cross multiply
    278,168x = 569,556 × 569,556
  4. Step 4: Simplify right side
    278,168x = 324,394,037,136
  5. Step 5: Solve for x
    x = 324,394,037,136/278,168
  6. Step 6: Final answer
    x = 1,166,180.28

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.