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Finding the Third Proportional to 254,876 and 356,486

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Solution

The third proportional to 254,876 and 356,486 is: 498,604.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,876 : 356,486 = 356,486 : x
  2. Step 2: Convert to fraction form
    254,876/356,486 = 356,486/x
  3. Step 3: Cross multiply
    254,876x = 356,486 × 356,486
  4. Step 4: Simplify right side
    254,876x = 127,082,268,196
  5. Step 5: Solve for x
    x = 127,082,268,196/254,876
  6. Step 6: Final answer
    x = 498,604.29

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.