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Finding the Third Proportional to 397,297 and 862,321

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Solution

The third proportional to 397,297 and 862,321 is: 1,871,641.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,297 : 862,321 = 862,321 : x
  2. Step 2: Convert to fraction form
    397,297/862,321 = 862,321/x
  3. Step 3: Cross multiply
    397,297x = 862,321 × 862,321
  4. Step 4: Simplify right side
    397,297x = 743,597,507,041
  5. Step 5: Solve for x
    x = 743,597,507,041/397,297
  6. Step 6: Final answer
    x = 1,871,641.38

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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.