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Finding the Third Proportional to 135,486 and 297,936

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Solution

The third proportional to 135,486 and 297,936 is: 655,166.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,486 : 297,936 = 297,936 : x
  2. Step 2: Convert to fraction form
    135,486/297,936 = 297,936/x
  3. Step 3: Cross multiply
    135,486x = 297,936 × 297,936
  4. Step 4: Simplify right side
    135,486x = 88,765,860,096
  5. Step 5: Solve for x
    x = 88,765,860,096/135,486
  6. Step 6: Final answer
    x = 655,166.29

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.