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Finding the Third Proportional to 294,950 and 451,020

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Solution

The third proportional to 294,950 and 451,020 is: 689,672.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,950 : 451,020 = 451,020 : x
  2. Step 2: Convert to fraction form
    294,950/451,020 = 451,020/x
  3. Step 3: Cross multiply
    294,950x = 451,020 × 451,020
  4. Step 4: Simplify right side
    294,950x = 203,419,040,400
  5. Step 5: Solve for x
    x = 203,419,040,400/294,950
  6. Step 6: Final answer
    x = 689,672.96

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.