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Finding the Third Proportional to 398,431.50 and 863,235

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Solution

The third proportional to 398,431.50 and 863,235 is: 1,870,270.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,431.50 : 863,235 = 863,235 : x
  2. Step 2: Convert to fraction form
    398,431.50/863,235 = 863,235/x
  3. Step 3: Cross multiply
    398,431.50x = 863,235 × 863,235
  4. Step 4: Simplify right side
    398,431.50x = 745,174,665,225
  5. Step 5: Solve for x
    x = 745,174,665,225/398,431.50
  6. Step 6: Final answer
    x = 1,870,270.46

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.