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Finding the Third Proportional to 451,956.50 and 682,555

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Solution

The third proportional to 451,956.50 and 682,555 is: 1,030,810.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    451,956.50 : 682,555 = 682,555 : x
  2. Step 2: Convert to fraction form
    451,956.50/682,555 = 682,555/x
  3. Step 3: Cross multiply
    451,956.50x = 682,555 × 682,555
  4. Step 4: Simplify right side
    451,956.50x = 465,881,328,025
  5. Step 5: Solve for x
    x = 465,881,328,025/451,956.50
  6. Step 6: Final answer
    x = 1,030,810.11

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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.