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Finding the Third Proportional to 287,208 and 603,807

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Solution

The third proportional to 287,208 and 603,807 is: 1,269,403.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,208 : 603,807 = 603,807 : x
  2. Step 2: Convert to fraction form
    287,208/603,807 = 603,807/x
  3. Step 3: Cross multiply
    287,208x = 603,807 × 603,807
  4. Step 4: Simplify right side
    287,208x = 364,582,893,249
  5. Step 5: Solve for x
    x = 364,582,893,249/287,208
  6. Step 6: Final answer
    x = 1,269,403.68

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.