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Finding the Third Proportional to 78,828 and 175,152

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Solution

The third proportional to 78,828 and 175,152 is: 389,179.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,828 : 175,152 = 175,152 : x
  2. Step 2: Convert to fraction form
    78,828/175,152 = 175,152/x
  3. Step 3: Cross multiply
    78,828x = 175,152 × 175,152
  4. Step 4: Simplify right side
    78,828x = 30,678,223,104
  5. Step 5: Solve for x
    x = 30,678,223,104/78,828
  6. Step 6: Final answer
    x = 389,179.27

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These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.