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Finding the Third Proportional to 280,872 and 585,080

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Solution

The third proportional to 280,872 and 585,080 is: 1,218,770.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,872 : 585,080 = 585,080 : x
  2. Step 2: Convert to fraction form
    280,872/585,080 = 585,080/x
  3. Step 3: Cross multiply
    280,872x = 585,080 × 585,080
  4. Step 4: Simplify right side
    280,872x = 342,318,606,400
  5. Step 5: Solve for x
    x = 342,318,606,400/280,872
  6. Step 6: Final answer
    x = 1,218,770.85

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.