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Finding the Third Proportional to 280,474 and 603,716

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Solution

The third proportional to 280,474 and 603,716 is: 1,299,489.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,474 : 603,716 = 603,716 : x
  2. Step 2: Convert to fraction form
    280,474/603,716 = 603,716/x
  3. Step 3: Cross multiply
    280,474x = 603,716 × 603,716
  4. Step 4: Simplify right side
    280,474x = 364,473,008,656
  5. Step 5: Solve for x
    x = 364,473,008,656/280,474
  6. Step 6: Final answer
    x = 1,299,489.47

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.