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Finding the Third Proportional to 238,138 and 323,413

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Solution

The third proportional to 238,138 and 323,413 is: 439,224.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,138 : 323,413 = 323,413 : x
  2. Step 2: Convert to fraction form
    238,138/323,413 = 323,413/x
  3. Step 3: Cross multiply
    238,138x = 323,413 × 323,413
  4. Step 4: Simplify right side
    238,138x = 104,595,968,569
  5. Step 5: Solve for x
    x = 104,595,968,569/238,138
  6. Step 6: Final answer
    x = 439,224.18

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.