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Finding the Third Proportional to 192,383 and 421,666

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Solution

The third proportional to 192,383 and 421,666 is: 924,209.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,383 : 421,666 = 421,666 : x
  2. Step 2: Convert to fraction form
    192,383/421,666 = 421,666/x
  3. Step 3: Cross multiply
    192,383x = 421,666 × 421,666
  4. Step 4: Simplify right side
    192,383x = 177,802,215,556
  5. Step 5: Solve for x
    x = 177,802,215,556/192,383
  6. Step 6: Final answer
    x = 924,209.60

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.