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Finding the Third Proportional to 278,112 and 430,832

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Solution

The third proportional to 278,112 and 430,832 is: 667,415.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,112 : 430,832 = 430,832 : x
  2. Step 2: Convert to fraction form
    278,112/430,832 = 430,832/x
  3. Step 3: Cross multiply
    278,112x = 430,832 × 430,832
  4. Step 4: Simplify right side
    278,112x = 185,616,212,224
  5. Step 5: Solve for x
    x = 185,616,212,224/278,112
  6. Step 6: Final answer
    x = 667,415.33

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.