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Finding the Third Proportional to 197,788 and 306,825

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Solution

The third proportional to 197,788 and 306,825 is: 475,972.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,788 : 306,825 = 306,825 : x
  2. Step 2: Convert to fraction form
    197,788/306,825 = 306,825/x
  3. Step 3: Cross multiply
    197,788x = 306,825 × 306,825
  4. Step 4: Simplify right side
    197,788x = 94,141,580,625
  5. Step 5: Solve for x
    x = 94,141,580,625/197,788
  6. Step 6: Final answer
    x = 475,972.16

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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.