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Finding the Third Proportional to 138,328 and 212,717

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Solution

The third proportional to 138,328 and 212,717 is: 327,110.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,328 : 212,717 = 212,717 : x
  2. Step 2: Convert to fraction form
    138,328/212,717 = 212,717/x
  3. Step 3: Cross multiply
    138,328x = 212,717 × 212,717
  4. Step 4: Simplify right side
    138,328x = 45,248,522,089
  5. Step 5: Solve for x
    x = 45,248,522,089/138,328
  6. Step 6: Final answer
    x = 327,110.36

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.