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Finding the Third Proportional to 196,546.50 and 421,139.25

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Solution

The third proportional to 196,546.50 and 421,139.25 is: 902,373.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,546.50 : 421,139.25 = 421,139.25 : x
  2. Step 2: Convert to fraction form
    196,546.50/421,139.25 = 421,139.25/x
  3. Step 3: Cross multiply
    196,546.50x = 421,139.25 × 421,139.25
  4. Step 4: Simplify right side
    196,546.50x = 177,358,267,890.56
  5. Step 5: Solve for x
    x = 177,358,267,890.56/196,546.50
  6. Step 6: Final answer
    x = 902,373.07

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.