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Finding the Third Proportional to 79,378 and 107,804

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Solution

The third proportional to 79,378 and 107,804 is: 146,409.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,378 : 107,804 = 107,804 : x
  2. Step 2: Convert to fraction form
    79,378/107,804 = 107,804/x
  3. Step 3: Cross multiply
    79,378x = 107,804 × 107,804
  4. Step 4: Simplify right side
    79,378x = 11,621,702,416
  5. Step 5: Solve for x
    x = 11,621,702,416/79,378
  6. Step 6: Final answer
    x = 146,409.61

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.