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Finding the Third Proportional to 196,506 and 421,051

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Solution

The third proportional to 196,506 and 421,051 is: 902,180.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,506 : 421,051 = 421,051 : x
  2. Step 2: Convert to fraction form
    196,506/421,051 = 421,051/x
  3. Step 3: Cross multiply
    196,506x = 421,051 × 421,051
  4. Step 4: Simplify right side
    196,506x = 177,283,944,601
  5. Step 5: Solve for x
    x = 177,283,944,601/196,506
  6. Step 6: Final answer
    x = 902,180.82

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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.