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Finding the Third Proportional to 197,707 and 306,392

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Solution

The third proportional to 197,707 and 306,392 is: 474,824.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,707 : 306,392 = 306,392 : x
  2. Step 2: Convert to fraction form
    197,707/306,392 = 306,392/x
  3. Step 3: Cross multiply
    197,707x = 306,392 × 306,392
  4. Step 4: Simplify right side
    197,707x = 93,876,057,664
  5. Step 5: Solve for x
    x = 93,876,057,664/197,707
  6. Step 6: Final answer
    x = 474,824.15

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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.