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Finding the Third Proportional to 280,486 and 603,740

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Solution

The third proportional to 280,486 and 603,740 is: 1,299,537.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,486 : 603,740 = 603,740 : x
  2. Step 2: Convert to fraction form
    280,486/603,740 = 603,740/x
  3. Step 3: Cross multiply
    280,486x = 603,740 × 603,740
  4. Step 4: Simplify right side
    280,486x = 364,501,987,600
  5. Step 5: Solve for x
    x = 364,501,987,600/280,486
  6. Step 6: Final answer
    x = 1,299,537.19

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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.