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Finding the Third Proportional to 335,280 and 680,280

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Solution

The third proportional to 335,280 and 680,280 is: 1,380,281.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    335,280 : 680,280 = 680,280 : x
  2. Step 2: Convert to fraction form
    335,280/680,280 = 680,280/x
  3. Step 3: Cross multiply
    335,280x = 680,280 × 680,280
  4. Step 4: Simplify right side
    335,280x = 462,780,878,400
  5. Step 5: Solve for x
    x = 462,780,878,400/335,280
  6. Step 6: Final answer
    x = 1,380,281.79

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.