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Finding the Third Proportional to 263,208 and 578,880

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Solution

The third proportional to 263,208 and 578,880 is: 1,273,145.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,208 : 578,880 = 578,880 : x
  2. Step 2: Convert to fraction form
    263,208/578,880 = 578,880/x
  3. Step 3: Cross multiply
    263,208x = 578,880 × 578,880
  4. Step 4: Simplify right side
    263,208x = 335,102,054,400
  5. Step 5: Solve for x
    x = 335,102,054,400/263,208
  6. Step 6: Final answer
    x = 1,273,145.40

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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.