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Finding the Third Proportional to 232,928 and 505,408

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Solution

The third proportional to 232,928 and 505,408 is: 1,096,636.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,928 : 505,408 = 505,408 : x
  2. Step 2: Convert to fraction form
    232,928/505,408 = 505,408/x
  3. Step 3: Cross multiply
    232,928x = 505,408 × 505,408
  4. Step 4: Simplify right side
    232,928x = 255,437,246,464
  5. Step 5: Solve for x
    x = 255,437,246,464/232,928
  6. Step 6: Final answer
    x = 1,096,636.07

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.