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Finding the Third Proportional to 280,864 and 585,052

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Solution

The third proportional to 280,864 and 585,052 is: 1,218,688.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,864 : 585,052 = 585,052 : x
  2. Step 2: Convert to fraction form
    280,864/585,052 = 585,052/x
  3. Step 3: Cross multiply
    280,864x = 585,052 × 585,052
  4. Step 4: Simplify right side
    280,864x = 342,285,842,704
  5. Step 5: Solve for x
    x = 342,285,842,704/280,864
  6. Step 6: Final answer
    x = 1,218,688.91

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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.