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Finding the Third Proportional to 135,969 and 297,636

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Solution

The third proportional to 135,969 and 297,636 is: 651,524.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,969 : 297,636 = 297,636 : x
  2. Step 2: Convert to fraction form
    135,969/297,636 = 297,636/x
  3. Step 3: Cross multiply
    135,969x = 297,636 × 297,636
  4. Step 4: Simplify right side
    135,969x = 88,587,188,496
  5. Step 5: Solve for x
    x = 88,587,188,496/135,969
  6. Step 6: Final answer
    x = 651,524.90

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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.