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Finding the Third Proportional to 230,277 and 355,259

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Solution

The third proportional to 230,277 and 355,259 is: 548,074.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,277 : 355,259 = 355,259 : x
  2. Step 2: Convert to fraction form
    230,277/355,259 = 355,259/x
  3. Step 3: Cross multiply
    230,277x = 355,259 × 355,259
  4. Step 4: Simplify right side
    230,277x = 126,208,957,081
  5. Step 5: Solve for x
    x = 126,208,957,081/230,277
  6. Step 6: Final answer
    x = 548,074.52

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.