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Finding the Third Proportional to 129,832 and 205,410

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Solution

The third proportional to 129,832 and 205,410 is: 324,983.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,832 : 205,410 = 205,410 : x
  2. Step 2: Convert to fraction form
    129,832/205,410 = 205,410/x
  3. Step 3: Cross multiply
    129,832x = 205,410 × 205,410
  4. Step 4: Simplify right side
    129,832x = 42,193,268,100
  5. Step 5: Solve for x
    x = 42,193,268,100/129,832
  6. Step 6: Final answer
    x = 324,983.58

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.