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Finding the Third Proportional to 76,680 and 163,296

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Solution

The third proportional to 76,680 and 163,296 is: 347,751.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,680 : 163,296 = 163,296 : x
  2. Step 2: Convert to fraction form
    76,680/163,296 = 163,296/x
  3. Step 3: Cross multiply
    76,680x = 163,296 × 163,296
  4. Step 4: Simplify right side
    76,680x = 26,665,583,616
  5. Step 5: Solve for x
    x = 26,665,583,616/76,680
  6. Step 6: Final answer
    x = 347,751.48

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.