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Finding the Third Proportional to 196,522 and 421,082

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Solution

The third proportional to 196,522 and 421,082 is: 902,240.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,522 : 421,082 = 421,082 : x
  2. Step 2: Convert to fraction form
    196,522/421,082 = 421,082/x
  3. Step 3: Cross multiply
    196,522x = 421,082 × 421,082
  4. Step 4: Simplify right side
    196,522x = 177,310,050,724
  5. Step 5: Solve for x
    x = 177,310,050,724/196,522
  6. Step 6: Final answer
    x = 902,240.21

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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.