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Finding the Third Proportional to 192,213 and 421,453.13

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Solution

The third proportional to 192,213 and 421,453.13 is: 924,093.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,213 : 421,453.13 = 421,453.13 : x
  2. Step 2: Convert to fraction form
    192,213/421,453.13 = 421,453.13/x
  3. Step 3: Cross multiply
    192,213x = 421,453.13 × 421,453.13
  4. Step 4: Simplify right side
    192,213x = 177,622,736,572.27
  5. Step 5: Solve for x
    x = 177,622,736,572.27/192,213
  6. Step 6: Final answer
    x = 924,093.25

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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.