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Finding the Third Proportional to 400,410 and 539,325

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Solution

The third proportional to 400,410 and 539,325 is: 726,434.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    400,410 : 539,325 = 539,325 : x
  2. Step 2: Convert to fraction form
    400,410/539,325 = 539,325/x
  3. Step 3: Cross multiply
    400,410x = 539,325 × 539,325
  4. Step 4: Simplify right side
    400,410x = 290,871,455,625
  5. Step 5: Solve for x
    x = 290,871,455,625/400,410
  6. Step 6: Final answer
    x = 726,434.04

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.