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Finding the Third Proportional to 278,692 and 609,736

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Solution

The third proportional to 278,692 and 609,736 is: 1,334,010.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,692 : 609,736 = 609,736 : x
  2. Step 2: Convert to fraction form
    278,692/609,736 = 609,736/x
  3. Step 3: Cross multiply
    278,692x = 609,736 × 609,736
  4. Step 4: Simplify right side
    278,692x = 371,777,989,696
  5. Step 5: Solve for x
    x = 371,777,989,696/278,692
  6. Step 6: Final answer
    x = 1,334,010.27

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.