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Finding the Third Proportional to 345,600 and 518,400

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Solution

The third proportional to 345,600 and 518,400 is: 777,600

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,600 : 518,400 = 518,400 : x
  2. Step 2: Convert to fraction form
    345,600/518,400 = 518,400/x
  3. Step 3: Cross multiply
    345,600x = 518,400 × 518,400
  4. Step 4: Simplify right side
    345,600x = 268,738,560,000
  5. Step 5: Solve for x
    x = 268,738,560,000/345,600
  6. Step 6: Final answer
    x = 777,600

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.