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Finding the Third Proportional to 197,788 and 306,496

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Solution

The third proportional to 197,788 and 306,496 is: 474,951.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,788 : 306,496 = 306,496 : x
  2. Step 2: Convert to fraction form
    197,788/306,496 = 306,496/x
  3. Step 3: Cross multiply
    197,788x = 306,496 × 306,496
  4. Step 4: Simplify right side
    197,788x = 93,939,798,016
  5. Step 5: Solve for x
    x = 93,939,798,016/197,788
  6. Step 6: Final answer
    x = 474,951.96

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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.