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Finding the Third Proportional to 102,408 and 221,880

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Solution

The third proportional to 102,408 and 221,880 is: 480,731.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,408 : 221,880 = 221,880 : x
  2. Step 2: Convert to fraction form
    102,408/221,880 = 221,880/x
  3. Step 3: Cross multiply
    102,408x = 221,880 × 221,880
  4. Step 4: Simplify right side
    102,408x = 49,230,734,400
  5. Step 5: Solve for x
    x = 49,230,734,400/102,408
  6. Step 6: Final answer
    x = 480,731.33

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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.