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Finding the Third Proportional to 322,737.75 and 682,411.50

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Solution

The third proportional to 322,737.75 and 682,411.50 is: 1,442,922.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,737.75 : 682,411.50 = 682,411.50 : x
  2. Step 2: Convert to fraction form
    322,737.75/682,411.50 = 682,411.50/x
  3. Step 3: Cross multiply
    322,737.75x = 682,411.50 × 682,411.50
  4. Step 4: Simplify right side
    322,737.75x = 465,685,455,332.25
  5. Step 5: Solve for x
    x = 465,685,455,332.25/322,737.75
  6. Step 6: Final answer
    x = 1,442,922.17

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These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.