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Finding the Third Proportional to 100,296 and 213,588

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Solution

The third proportional to 100,296 and 213,588 is: 454,851.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,296 : 213,588 = 213,588 : x
  2. Step 2: Convert to fraction form
    100,296/213,588 = 213,588/x
  3. Step 3: Cross multiply
    100,296x = 213,588 × 213,588
  4. Step 4: Simplify right side
    100,296x = 45,619,833,744
  5. Step 5: Solve for x
    x = 45,619,833,744/100,296
  6. Step 6: Final answer
    x = 454,851.98

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.