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Finding the Third Proportional to 196,590 and 421,854

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Solution

The third proportional to 196,590 and 421,854 is: 905,238.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,590 : 421,854 = 421,854 : x
  2. Step 2: Convert to fraction form
    196,590/421,854 = 421,854/x
  3. Step 3: Cross multiply
    196,590x = 421,854 × 421,854
  4. Step 4: Simplify right side
    196,590x = 177,960,797,316
  5. Step 5: Solve for x
    x = 177,960,797,316/196,590
  6. Step 6: Final answer
    x = 905,238.30

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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.