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Finding the Third Proportional to 196,566 and 408,684

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Solution

The third proportional to 196,566 and 408,684 is: 849,702.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,566 : 408,684 = 408,684 : x
  2. Step 2: Convert to fraction form
    196,566/408,684 = 408,684/x
  3. Step 3: Cross multiply
    196,566x = 408,684 × 408,684
  4. Step 4: Simplify right side
    196,566x = 167,022,611,856
  5. Step 5: Solve for x
    x = 167,022,611,856/196,566
  6. Step 6: Final answer
    x = 849,702.45

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.