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Finding the Third Proportional to 223,826 and 480,781

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Solution

The third proportional to 223,826 and 480,781 is: 1,032,723.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,826 : 480,781 = 480,781 : x
  2. Step 2: Convert to fraction form
    223,826/480,781 = 480,781/x
  3. Step 3: Cross multiply
    223,826x = 480,781 × 480,781
  4. Step 4: Simplify right side
    223,826x = 231,150,369,961
  5. Step 5: Solve for x
    x = 231,150,369,961/223,826
  6. Step 6: Final answer
    x = 1,032,723.50

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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.