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Finding the Third Proportional to 205,947 and 308,175

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Solution

The third proportional to 205,947 and 308,175 is: 461,146.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,947 : 308,175 = 308,175 : x
  2. Step 2: Convert to fraction form
    205,947/308,175 = 308,175/x
  3. Step 3: Cross multiply
    205,947x = 308,175 × 308,175
  4. Step 4: Simplify right side
    205,947x = 94,971,830,625
  5. Step 5: Solve for x
    x = 94,971,830,625/205,947
  6. Step 6: Final answer
    x = 461,146.95

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.