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Finding the Third Proportional to 298,284 and 451,770

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Solution

The third proportional to 298,284 and 451,770 is: 684,234.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,284 : 451,770 = 451,770 : x
  2. Step 2: Convert to fraction form
    298,284/451,770 = 451,770/x
  3. Step 3: Cross multiply
    298,284x = 451,770 × 451,770
  4. Step 4: Simplify right side
    298,284x = 204,096,132,900
  5. Step 5: Solve for x
    x = 204,096,132,900/298,284
  6. Step 6: Final answer
    x = 684,234.26

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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.