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Finding the Third Proportional to 205,170 and 306,935

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Solution

The third proportional to 205,170 and 306,935 is: 459,175.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,170 : 306,935 = 306,935 : x
  2. Step 2: Convert to fraction form
    205,170/306,935 = 306,935/x
  3. Step 3: Cross multiply
    205,170x = 306,935 × 306,935
  4. Step 4: Simplify right side
    205,170x = 94,209,094,225
  5. Step 5: Solve for x
    x = 94,209,094,225/205,170
  6. Step 6: Final answer
    x = 459,175.78

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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.