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Finding the Third Proportional to 298,092 and 450,990

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Solution

The third proportional to 298,092 and 450,990 is: 682,312.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,092 : 450,990 = 450,990 : x
  2. Step 2: Convert to fraction form
    298,092/450,990 = 450,990/x
  3. Step 3: Cross multiply
    298,092x = 450,990 × 450,990
  4. Step 4: Simplify right side
    298,092x = 203,391,980,100
  5. Step 5: Solve for x
    x = 203,391,980,100/298,092
  6. Step 6: Final answer
    x = 682,312.78

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.