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Finding the Third Proportional to 394,163.63 and 864,631.50

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Solution

The third proportional to 394,163.63 and 864,631.50 is: 1,896,642.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,163.63 : 864,631.50 = 864,631.50 : x
  2. Step 2: Convert to fraction form
    394,163.63/864,631.50 = 864,631.50/x
  3. Step 3: Cross multiply
    394,163.63x = 864,631.50 × 864,631.50
  4. Step 4: Simplify right side
    394,163.63x = 747,587,630,792.25
  5. Step 5: Solve for x
    x = 747,587,630,792.25/394,163.63
  6. Step 6: Final answer
    x = 1,896,642.87

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.