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Finding the Third Proportional to 280,832 and 364,320

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Solution

The third proportional to 280,832 and 364,320 is: 472,627.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,832 : 364,320 = 364,320 : x
  2. Step 2: Convert to fraction form
    280,832/364,320 = 364,320/x
  3. Step 3: Cross multiply
    280,832x = 364,320 × 364,320
  4. Step 4: Simplify right side
    280,832x = 132,729,062,400
  5. Step 5: Solve for x
    x = 132,729,062,400/280,832
  6. Step 6: Final answer
    x = 472,627.99

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Why These Related Problems?

These problems maintain the same ratio (1.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.