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Finding the Third Proportional to 355,678 and 632,408

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Solution

The third proportional to 355,678 and 632,408 is: 1,124,443.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    355,678 : 632,408 = 632,408 : x
  2. Step 2: Convert to fraction form
    355,678/632,408 = 632,408/x
  3. Step 3: Cross multiply
    355,678x = 632,408 × 632,408
  4. Step 4: Simplify right side
    355,678x = 399,939,878,464
  5. Step 5: Solve for x
    x = 399,939,878,464/355,678
  6. Step 6: Final answer
    x = 1,124,443.68

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Why These Related Problems?

These problems maintain the same ratio (1.78) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.