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Finding the Third Proportional to 420,405 and 634,983

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Solution

The third proportional to 420,405 and 634,983 is: 959,083.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,405 : 634,983 = 634,983 : x
  2. Step 2: Convert to fraction form
    420,405/634,983 = 634,983/x
  3. Step 3: Cross multiply
    420,405x = 634,983 × 634,983
  4. Step 4: Simplify right side
    420,405x = 403,203,410,289
  5. Step 5: Solve for x
    x = 403,203,410,289/420,405
  6. Step 6: Final answer
    x = 959,083.29

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.