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Finding the Third Proportional to 135,021 and 213,525

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Solution

The third proportional to 135,021 and 213,525 is: 337,672.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,021 : 213,525 = 213,525 : x
  2. Step 2: Convert to fraction form
    135,021/213,525 = 213,525/x
  3. Step 3: Cross multiply
    135,021x = 213,525 × 213,525
  4. Step 4: Simplify right side
    135,021x = 45,592,925,625
  5. Step 5: Solve for x
    x = 45,592,925,625/135,021
  6. Step 6: Final answer
    x = 337,672.85

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.