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Finding the Third Proportional to 197,453 and 306,299

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Solution

The third proportional to 197,453 and 306,299 is: 475,146.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,453 : 306,299 = 306,299 : x
  2. Step 2: Convert to fraction form
    197,453/306,299 = 306,299/x
  3. Step 3: Cross multiply
    197,453x = 306,299 × 306,299
  4. Step 4: Simplify right side
    197,453x = 93,819,077,401
  5. Step 5: Solve for x
    x = 93,819,077,401/197,453
  6. Step 6: Final answer
    x = 475,146.38

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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.