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Finding the Third Proportional to 103,328 and 219,055

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Solution

The third proportional to 103,328 and 219,055 is: 464,395.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,328 : 219,055 = 219,055 : x
  2. Step 2: Convert to fraction form
    103,328/219,055 = 219,055/x
  3. Step 3: Cross multiply
    103,328x = 219,055 × 219,055
  4. Step 4: Simplify right side
    103,328x = 47,985,093,025
  5. Step 5: Solve for x
    x = 47,985,093,025/103,328
  6. Step 6: Final answer
    x = 464,395.84

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.