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Finding the Third Proportional to 490,104 and 780,372

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Solution

The third proportional to 490,104 and 780,372 is: 1,242,553.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    490,104 : 780,372 = 780,372 : x
  2. Step 2: Convert to fraction form
    490,104/780,372 = 780,372/x
  3. Step 3: Cross multiply
    490,104x = 780,372 × 780,372
  4. Step 4: Simplify right side
    490,104x = 608,980,458,384
  5. Step 5: Solve for x
    x = 608,980,458,384/490,104
  6. Step 6: Final answer
    x = 1,242,553.54

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.