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Finding the Third Proportional to 197,777 and 306,495

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Solution

The third proportional to 197,777 and 306,495 is: 474,975.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,777 : 306,495 = 306,495 : x
  2. Step 2: Convert to fraction form
    197,777/306,495 = 306,495/x
  3. Step 3: Cross multiply
    197,777x = 306,495 × 306,495
  4. Step 4: Simplify right side
    197,777x = 93,939,185,025
  5. Step 5: Solve for x
    x = 93,939,185,025/197,777
  6. Step 6: Final answer
    x = 474,975.28

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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.