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Finding the Third Proportional to 192,680 and 408,688

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Solution

The third proportional to 192,680 and 408,688 is: 866,856.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,680 : 408,688 = 408,688 : x
  2. Step 2: Convert to fraction form
    192,680/408,688 = 408,688/x
  3. Step 3: Cross multiply
    192,680x = 408,688 × 408,688
  4. Step 4: Simplify right side
    192,680x = 167,025,881,344
  5. Step 5: Solve for x
    x = 167,025,881,344/192,680
  6. Step 6: Final answer
    x = 866,856.35

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.