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Finding the Third Proportional to 196,572 and 421,188

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Solution

The third proportional to 196,572 and 421,188 is: 902,464.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,572 : 421,188 = 421,188 : x
  2. Step 2: Convert to fraction form
    196,572/421,188 = 421,188/x
  3. Step 3: Cross multiply
    196,572x = 421,188 × 421,188
  4. Step 4: Simplify right side
    196,572x = 177,399,331,344
  5. Step 5: Solve for x
    x = 177,399,331,344/196,572
  6. Step 6: Final answer
    x = 902,464.91

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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.