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Finding the Third Proportional to 8,245 and 17,783

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Solution

The third proportional to 8,245 and 17,783 is: 38,354.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,245 : 17,783 = 17,783 : x
  2. Step 2: Convert to fraction form
    8,245/17,783 = 17,783/x
  3. Step 3: Cross multiply
    8,245x = 17,783 × 17,783
  4. Step 4: Simplify right side
    8,245x = 316,235,089
  5. Step 5: Solve for x
    x = 316,235,089/8,245
  6. Step 6: Final answer
    x = 38,354.77

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.