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Finding the Third Proportional to 278,460 and 434,325

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Solution

The third proportional to 278,460 and 434,325 is: 677,433.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,460 : 434,325 = 434,325 : x
  2. Step 2: Convert to fraction form
    278,460/434,325 = 434,325/x
  3. Step 3: Cross multiply
    278,460x = 434,325 × 434,325
  4. Step 4: Simplify right side
    278,460x = 188,638,205,625
  5. Step 5: Solve for x
    x = 188,638,205,625/278,460
  6. Step 6: Final answer
    x = 677,433.76

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.