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Finding the Third Proportional to 192,106 and 413,804

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Solution

The third proportional to 192,106 and 413,804 is: 891,350.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,106 : 413,804 = 413,804 : x
  2. Step 2: Convert to fraction form
    192,106/413,804 = 413,804/x
  3. Step 3: Cross multiply
    192,106x = 413,804 × 413,804
  4. Step 4: Simplify right side
    192,106x = 171,233,750,416
  5. Step 5: Solve for x
    x = 171,233,750,416/192,106
  6. Step 6: Final answer
    x = 891,350.35

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.