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Finding the Third Proportional to 397,297.50 and 862,321.50

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Solution

The third proportional to 397,297.50 and 862,321.50 is: 1,871,641.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,297.50 : 862,321.50 = 862,321.50 : x
  2. Step 2: Convert to fraction form
    397,297.50/862,321.50 = 862,321.50/x
  3. Step 3: Cross multiply
    397,297.50x = 862,321.50 × 862,321.50
  4. Step 4: Simplify right side
    397,297.50x = 743,598,369,362.25
  5. Step 5: Solve for x
    x = 743,598,369,362.25/397,297.50
  6. Step 6: Final answer
    x = 1,871,641.20

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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.