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Finding the Third Proportional to 305,098 and 451,416

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Solution

The third proportional to 305,098 and 451,416 is: 667,904.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,098 : 451,416 = 451,416 : x
  2. Step 2: Convert to fraction form
    305,098/451,416 = 451,416/x
  3. Step 3: Cross multiply
    305,098x = 451,416 × 451,416
  4. Step 4: Simplify right side
    305,098x = 203,776,405,056
  5. Step 5: Solve for x
    x = 203,776,405,056/305,098
  6. Step 6: Final answer
    x = 667,904.76

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.