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Finding the Third Proportional to 313,876 and 403,005

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Solution

The third proportional to 313,876 and 403,005 is: 517,443.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,876 : 403,005 = 403,005 : x
  2. Step 2: Convert to fraction form
    313,876/403,005 = 403,005/x
  3. Step 3: Cross multiply
    313,876x = 403,005 × 403,005
  4. Step 4: Simplify right side
    313,876x = 162,413,030,025
  5. Step 5: Solve for x
    x = 162,413,030,025/313,876
  6. Step 6: Final answer
    x = 517,443.29

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Why These Related Problems?

These problems maintain the same ratio (1.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.