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Finding the Third Proportional to 78,626 and 104,752

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Solution

The third proportional to 78,626 and 104,752 is: 139,559.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,626 : 104,752 = 104,752 : x
  2. Step 2: Convert to fraction form
    78,626/104,752 = 104,752/x
  3. Step 3: Cross multiply
    78,626x = 104,752 × 104,752
  4. Step 4: Simplify right side
    78,626x = 10,972,981,504
  5. Step 5: Solve for x
    x = 10,972,981,504/78,626
  6. Step 6: Final answer
    x = 139,559.20

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These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.