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Finding the Third Proportional to 135,021 and 295,467

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Solution

The third proportional to 135,021 and 295,467 is: 646,571.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,021 : 295,467 = 295,467 : x
  2. Step 2: Convert to fraction form
    135,021/295,467 = 295,467/x
  3. Step 3: Cross multiply
    135,021x = 295,467 × 295,467
  4. Step 4: Simplify right side
    135,021x = 87,300,748,089
  5. Step 5: Solve for x
    x = 87,300,748,089/135,021
  6. Step 6: Final answer
    x = 646,571.63

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.