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Finding the Third Proportional to 305,086.50 and 451,401.93

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Solution

The third proportional to 305,086.50 and 451,401.93 is: 667,888.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,086.50 : 451,401.93 = 451,401.93 : x
  2. Step 2: Convert to fraction form
    305,086.50/451,401.93 = 451,401.93/x
  3. Step 3: Cross multiply
    305,086.50x = 451,401.93 × 451,401.93
  4. Step 4: Simplify right side
    305,086.50x = 203,763,698,599.01
  5. Step 5: Solve for x
    x = 203,763,698,599.01/305,086.50
  6. Step 6: Final answer
    x = 667,888.28

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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.