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Finding the Third Proportional to 197,789 and 306,170

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Solution

The third proportional to 197,789 and 306,170 is: 473,939.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,789 : 306,170 = 306,170 : x
  2. Step 2: Convert to fraction form
    197,789/306,170 = 306,170/x
  3. Step 3: Cross multiply
    197,789x = 306,170 × 306,170
  4. Step 4: Simplify right side
    197,789x = 93,740,068,900
  5. Step 5: Solve for x
    x = 93,740,068,900/197,789
  6. Step 6: Final answer
    x = 473,939.75

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.