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Finding the Third Proportional to 394,254 and 863,140.50

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Solution

The third proportional to 394,254 and 863,140.50 is: 1,889,673.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,254 : 863,140.50 = 863,140.50 : x
  2. Step 2: Convert to fraction form
    394,254/863,140.50 = 863,140.50/x
  3. Step 3: Cross multiply
    394,254x = 863,140.50 × 863,140.50
  4. Step 4: Simplify right side
    394,254x = 745,011,522,740.25
  5. Step 5: Solve for x
    x = 745,011,522,740.25/394,254
  6. Step 6: Final answer
    x = 1,889,673.97

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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.