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Finding the Third Proportional to 213,203 and 463,990

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Solution

The third proportional to 213,203 and 463,990 is: 1,009,773.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,203 : 463,990 = 463,990 : x
  2. Step 2: Convert to fraction form
    213,203/463,990 = 463,990/x
  3. Step 3: Cross multiply
    213,203x = 463,990 × 463,990
  4. Step 4: Simplify right side
    213,203x = 215,286,720,100
  5. Step 5: Solve for x
    x = 215,286,720,100/213,203
  6. Step 6: Final answer
    x = 1,009,773.41

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.