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Finding the Third Proportional to 7,896 and 10,242

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Solution

The third proportional to 7,896 and 10,242 is: 13,285.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,896 : 10,242 = 10,242 : x
  2. Step 2: Convert to fraction form
    7,896/10,242 = 10,242/x
  3. Step 3: Cross multiply
    7,896x = 10,242 × 10,242
  4. Step 4: Simplify right side
    7,896x = 104,898,564
  5. Step 5: Solve for x
    x = 104,898,564/7,896
  6. Step 6: Final answer
    x = 13,285.03

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Why These Related Problems?

These problems maintain the same ratio (1.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.