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Finding the Third Proportional to 394,093.50 and 819,639

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Solution

The third proportional to 394,093.50 and 819,639 is: 1,704,692.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,093.50 : 819,639 = 819,639 : x
  2. Step 2: Convert to fraction form
    394,093.50/819,639 = 819,639/x
  3. Step 3: Cross multiply
    394,093.50x = 819,639 × 819,639
  4. Step 4: Simplify right side
    394,093.50x = 671,808,090,321
  5. Step 5: Solve for x
    x = 671,808,090,321/394,093.50
  6. Step 6: Final answer
    x = 1,704,692.14

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.