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Finding the Third Proportional to 280,488 and 441,144

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Solution

The third proportional to 280,488 and 441,144 is: 693,819.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,488 : 441,144 = 441,144 : x
  2. Step 2: Convert to fraction form
    280,488/441,144 = 441,144/x
  3. Step 3: Cross multiply
    280,488x = 441,144 × 441,144
  4. Step 4: Simplify right side
    280,488x = 194,608,028,736
  5. Step 5: Solve for x
    x = 194,608,028,736/280,488
  6. Step 6: Final answer
    x = 693,819.45

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.