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Finding the Third Proportional to 197,851 and 306,816

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Solution

The third proportional to 197,851 and 306,816 is: 475,792.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,851 : 306,816 = 306,816 : x
  2. Step 2: Convert to fraction form
    197,851/306,816 = 306,816/x
  3. Step 3: Cross multiply
    197,851x = 306,816 × 306,816
  4. Step 4: Simplify right side
    197,851x = 94,136,057,856
  5. Step 5: Solve for x
    x = 94,136,057,856/197,851
  6. Step 6: Final answer
    x = 475,792.68

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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.