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Finding the Third Proportional to 196,221 and 423,813

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Solution

The third proportional to 196,221 and 423,813 is: 915,383.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,221 : 423,813 = 423,813 : x
  2. Step 2: Convert to fraction form
    196,221/423,813 = 423,813/x
  3. Step 3: Cross multiply
    196,221x = 423,813 × 423,813
  4. Step 4: Simplify right side
    196,221x = 179,617,458,969
  5. Step 5: Solve for x
    x = 179,617,458,969/196,221
  6. Step 6: Final answer
    x = 915,383.47

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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.