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Finding the Third Proportional to 306,837 and 634,977

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Solution

The third proportional to 306,837 and 634,977 is: 1,314,039.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,837 : 634,977 = 634,977 : x
  2. Step 2: Convert to fraction form
    306,837/634,977 = 634,977/x
  3. Step 3: Cross multiply
    306,837x = 634,977 × 634,977
  4. Step 4: Simplify right side
    306,837x = 403,195,790,529
  5. Step 5: Solve for x
    x = 403,195,790,529/306,837
  6. Step 6: Final answer
    x = 1,314,039.02

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.