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Finding the Third Proportional to 196,214 and 423,790

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Solution

The third proportional to 196,214 and 423,790 is: 915,316.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,214 : 423,790 = 423,790 : x
  2. Step 2: Convert to fraction form
    196,214/423,790 = 423,790/x
  3. Step 3: Cross multiply
    196,214x = 423,790 × 423,790
  4. Step 4: Simplify right side
    196,214x = 179,597,964,100
  5. Step 5: Solve for x
    x = 179,597,964,100/196,214
  6. Step 6: Final answer
    x = 915,316.77

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.