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Finding the Third Proportional to 821,378 and 1,203,603

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Solution

The third proportional to 821,378 and 1,203,603 is: 1,763,694.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    821,378 : 1,203,603 = 1,203,603 : x
  2. Step 2: Convert to fraction form
    821,378/1,203,603 = 1,203,603/x
  3. Step 3: Cross multiply
    821,378x = 1,203,603 × 1,203,603
  4. Step 4: Simplify right side
    821,378x = 1,448,660,181,609
  5. Step 5: Solve for x
    x = 1,448,660,181,609/821,378
  6. Step 6: Final answer
    x = 1,763,694.89

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.