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Finding the Third Proportional to 228,320 and 364,620

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Solution

The third proportional to 228,320 and 364,620 is: 582,286.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,320 : 364,620 = 364,620 : x
  2. Step 2: Convert to fraction form
    228,320/364,620 = 364,620/x
  3. Step 3: Cross multiply
    228,320x = 364,620 × 364,620
  4. Step 4: Simplify right side
    228,320x = 132,947,744,400
  5. Step 5: Solve for x
    x = 132,947,744,400/228,320
  6. Step 6: Final answer
    x = 582,286.90

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.