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Finding the Third Proportional to 821,380 and 1,203,606

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Solution

The third proportional to 821,380 and 1,203,606 is: 1,763,699.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    821,380 : 1,203,606 = 1,203,606 : x
  2. Step 2: Convert to fraction form
    821,380/1,203,606 = 1,203,606/x
  3. Step 3: Cross multiply
    821,380x = 1,203,606 × 1,203,606
  4. Step 4: Simplify right side
    821,380x = 1,448,667,403,236
  5. Step 5: Solve for x
    x = 1,448,667,403,236/821,380
  6. Step 6: Final answer
    x = 1,763,699.39

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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.