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Finding the Third Proportional to 192,356 and 420,892

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Solution

The third proportional to 192,356 and 420,892 is: 920,949.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,356 : 420,892 = 420,892 : x
  2. Step 2: Convert to fraction form
    192,356/420,892 = 420,892/x
  3. Step 3: Cross multiply
    192,356x = 420,892 × 420,892
  4. Step 4: Simplify right side
    192,356x = 177,150,075,664
  5. Step 5: Solve for x
    x = 177,150,075,664/192,356
  6. Step 6: Final answer
    x = 920,949.05

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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.