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Finding the Third Proportional to 90,984 and 199,449

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Solution

The third proportional to 90,984 and 199,449 is: 437,218.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,984 : 199,449 = 199,449 : x
  2. Step 2: Convert to fraction form
    90,984/199,449 = 199,449/x
  3. Step 3: Cross multiply
    90,984x = 199,449 × 199,449
  4. Step 4: Simplify right side
    90,984x = 39,779,903,601
  5. Step 5: Solve for x
    x = 39,779,903,601/90,984
  6. Step 6: Final answer
    x = 437,218.67

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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.