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Finding the Third Proportional to 7,865 and 17,242

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Solution

The third proportional to 7,865 and 17,242 is: 37,798.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,865 : 17,242 = 17,242 : x
  2. Step 2: Convert to fraction form
    7,865/17,242 = 17,242/x
  3. Step 3: Cross multiply
    7,865x = 17,242 × 17,242
  4. Step 4: Simplify right side
    7,865x = 297,286,564
  5. Step 5: Solve for x
    x = 297,286,564/7,865
  6. Step 6: Final answer
    x = 37,798.67

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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.