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Finding the Third Proportional to 280,738 and 603,509

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Solution

The third proportional to 280,738 and 603,509 is: 1,297,377.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,738 : 603,509 = 603,509 : x
  2. Step 2: Convert to fraction form
    280,738/603,509 = 603,509/x
  3. Step 3: Cross multiply
    280,738x = 603,509 × 603,509
  4. Step 4: Simplify right side
    280,738x = 364,223,113,081
  5. Step 5: Solve for x
    x = 364,223,113,081/280,738
  6. Step 6: Final answer
    x = 1,297,377.32

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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.