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Finding the Third Proportional to 78,816 and 171,456

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Solution

The third proportional to 78,816 and 171,456 is: 372,984.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,816 : 171,456 = 171,456 : x
  2. Step 2: Convert to fraction form
    78,816/171,456 = 171,456/x
  3. Step 3: Cross multiply
    78,816x = 171,456 × 171,456
  4. Step 4: Simplify right side
    78,816x = 29,397,159,936
  5. Step 5: Solve for x
    x = 29,397,159,936/78,816
  6. Step 6: Final answer
    x = 372,984.67

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.