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Finding the Third Proportional to 682,060.50 and 948,343.50

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Solution

The third proportional to 682,060.50 and 948,343.50 is: 1,318,585.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    682,060.50 : 948,343.50 = 948,343.50 : x
  2. Step 2: Convert to fraction form
    682,060.50/948,343.50 = 948,343.50/x
  3. Step 3: Cross multiply
    682,060.50x = 948,343.50 × 948,343.50
  4. Step 4: Simplify right side
    682,060.50x = 899,355,393,992.25
  5. Step 5: Solve for x
    x = 899,355,393,992.25/682,060.50
  6. Step 6: Final answer
    x = 1,318,585.95

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.