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Finding the Third Proportional to 213,967 and 458,296

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Solution

The third proportional to 213,967 and 458,296 is: 981,624.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,967 : 458,296 = 458,296 : x
  2. Step 2: Convert to fraction form
    213,967/458,296 = 458,296/x
  3. Step 3: Cross multiply
    213,967x = 458,296 × 458,296
  4. Step 4: Simplify right side
    213,967x = 210,035,223,616
  5. Step 5: Solve for x
    x = 210,035,223,616/213,967
  6. Step 6: Final answer
    x = 981,624.38

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.