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Finding the Third Proportional to 196,405.50 and 421,876.50

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Solution

The third proportional to 196,405.50 and 421,876.50 is: 906,185.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,405.50 : 421,876.50 = 421,876.50 : x
  2. Step 2: Convert to fraction form
    196,405.50/421,876.50 = 421,876.50/x
  3. Step 3: Cross multiply
    196,405.50x = 421,876.50 × 421,876.50
  4. Step 4: Simplify right side
    196,405.50x = 177,979,781,252.25
  5. Step 5: Solve for x
    x = 177,979,781,252.25/196,405.50
  6. Step 6: Final answer
    x = 906,185.32

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.