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Finding the Third Proportional to 213,852 and 298,977

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Solution

The third proportional to 213,852 and 298,977 is: 417,986.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,852 : 298,977 = 298,977 : x
  2. Step 2: Convert to fraction form
    213,852/298,977 = 298,977/x
  3. Step 3: Cross multiply
    213,852x = 298,977 × 298,977
  4. Step 4: Simplify right side
    213,852x = 89,387,246,529
  5. Step 5: Solve for x
    x = 89,387,246,529/213,852
  6. Step 6: Final answer
    x = 417,986.49

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.