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Finding the Third Proportional to 821,408 and 1,203,738

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Solution

The third proportional to 821,408 and 1,203,738 is: 1,764,026.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    821,408 : 1,203,738 = 1,203,738 : x
  2. Step 2: Convert to fraction form
    821,408/1,203,738 = 1,203,738/x
  3. Step 3: Cross multiply
    821,408x = 1,203,738 × 1,203,738
  4. Step 4: Simplify right side
    821,408x = 1,448,985,172,644
  5. Step 5: Solve for x
    x = 1,448,985,172,644/821,408
  6. Step 6: Final answer
    x = 1,764,026.13

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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.