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Finding the Third Proportional to 354,741 and 820,392

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Solution

The third proportional to 354,741 and 820,392 is: 1,897,280.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,741 : 820,392 = 820,392 : x
  2. Step 2: Convert to fraction form
    354,741/820,392 = 820,392/x
  3. Step 3: Cross multiply
    354,741x = 820,392 × 820,392
  4. Step 4: Simplify right side
    354,741x = 673,043,033,664
  5. Step 5: Solve for x
    x = 673,043,033,664/354,741
  6. Step 6: Final answer
    x = 1,897,280.08

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.