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Finding the Third Proportional to 397,892 and 608,457

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Solution

The third proportional to 397,892 and 608,457 is: 930,453.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,892 : 608,457 = 608,457 : x
  2. Step 2: Convert to fraction form
    397,892/608,457 = 608,457/x
  3. Step 3: Cross multiply
    397,892x = 608,457 × 608,457
  4. Step 4: Simplify right side
    397,892x = 370,219,920,849
  5. Step 5: Solve for x
    x = 370,219,920,849/397,892
  6. Step 6: Final answer
    x = 930,453.29

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.