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Finding the Third Proportional to 203,688 and 298,242

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Solution

The third proportional to 203,688 and 298,242 is: 436,688.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,688 : 298,242 = 298,242 : x
  2. Step 2: Convert to fraction form
    203,688/298,242 = 298,242/x
  3. Step 3: Cross multiply
    203,688x = 298,242 × 298,242
  4. Step 4: Simplify right side
    203,688x = 88,948,290,564
  5. Step 5: Solve for x
    x = 88,948,290,564/203,688
  6. Step 6: Final answer
    x = 436,688.91

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.