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Finding the Third Proportional to 203,760 and 314,873

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Solution

The third proportional to 203,760 and 314,873 is: 486,577.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,760 : 314,873 = 314,873 : x
  2. Step 2: Convert to fraction form
    203,760/314,873 = 314,873/x
  3. Step 3: Cross multiply
    203,760x = 314,873 × 314,873
  4. Step 4: Simplify right side
    203,760x = 99,145,006,129
  5. Step 5: Solve for x
    x = 99,145,006,129/203,760
  6. Step 6: Final answer
    x = 486,577.38

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.