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Finding the Third Proportional to 203,051 and 298,690

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Solution

The third proportional to 203,051 and 298,690 is: 439,375.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,051 : 298,690 = 298,690 : x
  2. Step 2: Convert to fraction form
    203,051/298,690 = 298,690/x
  3. Step 3: Cross multiply
    203,051x = 298,690 × 298,690
  4. Step 4: Simplify right side
    203,051x = 89,215,716,100
  5. Step 5: Solve for x
    x = 89,215,716,100/203,051
  6. Step 6: Final answer
    x = 439,375.90

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.