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Finding the Third Proportional to 278,052 and 611,400

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Solution

The third proportional to 278,052 and 611,400 is: 1,344,388.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,052 : 611,400 = 611,400 : x
  2. Step 2: Convert to fraction form
    278,052/611,400 = 611,400/x
  3. Step 3: Cross multiply
    278,052x = 611,400 × 611,400
  4. Step 4: Simplify right side
    278,052x = 373,809,960,000
  5. Step 5: Solve for x
    x = 373,809,960,000/278,052
  6. Step 6: Final answer
    x = 1,344,388.68

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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.