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Finding the Third Proportional to 278,544 and 612,384

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Solution

The third proportional to 278,544 and 612,384 is: 1,346,337.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,544 : 612,384 = 612,384 : x
  2. Step 2: Convert to fraction form
    278,544/612,384 = 612,384/x
  3. Step 3: Cross multiply
    278,544x = 612,384 × 612,384
  4. Step 4: Simplify right side
    278,544x = 375,014,163,456
  5. Step 5: Solve for x
    x = 375,014,163,456/278,544
  6. Step 6: Final answer
    x = 1,346,337.25

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.