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Finding the Third Proportional to 203,887 and 479,705

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Solution

The third proportional to 203,887 and 479,705 is: 1,128,649.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,887 : 479,705 = 479,705 : x
  2. Step 2: Convert to fraction form
    203,887/479,705 = 479,705/x
  3. Step 3: Cross multiply
    203,887x = 479,705 × 479,705
  4. Step 4: Simplify right side
    203,887x = 230,116,887,025
  5. Step 5: Solve for x
    x = 230,116,887,025/203,887
  6. Step 6: Final answer
    x = 1,128,649.14

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.