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Finding the Third Proportional to 411,408 and 636,768

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Solution

The third proportional to 411,408 and 636,768 is: 985,575.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,408 : 636,768 = 636,768 : x
  2. Step 2: Convert to fraction form
    411,408/636,768 = 636,768/x
  3. Step 3: Cross multiply
    411,408x = 636,768 × 636,768
  4. Step 4: Simplify right side
    411,408x = 405,473,485,824
  5. Step 5: Solve for x
    x = 405,473,485,824/411,408
  6. Step 6: Final answer
    x = 985,575.11

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.