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Finding the Third Proportional to 192,278 and 420,760

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Solution

The third proportional to 192,278 and 420,760 is: 920,744.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,278 : 420,760 = 420,760 : x
  2. Step 2: Convert to fraction form
    192,278/420,760 = 420,760/x
  3. Step 3: Cross multiply
    192,278x = 420,760 × 420,760
  4. Step 4: Simplify right side
    192,278x = 177,038,977,600
  5. Step 5: Solve for x
    x = 177,038,977,600/192,278
  6. Step 6: Final answer
    x = 920,744.85

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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.