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Finding the Third Proportional to 296,939 and 403,427

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Solution

The third proportional to 296,939 and 403,427 is: 548,103.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,939 : 403,427 = 403,427 : x
  2. Step 2: Convert to fraction form
    296,939/403,427 = 403,427/x
  3. Step 3: Cross multiply
    296,939x = 403,427 × 403,427
  4. Step 4: Simplify right side
    296,939x = 162,753,344,329
  5. Step 5: Solve for x
    x = 162,753,344,329/296,939
  6. Step 6: Final answer
    x = 548,103.63

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.