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Finding the Third Proportional to 100,860 and 219,462

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Solution

The third proportional to 100,860 and 219,462 is: 477,528.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,860 : 219,462 = 219,462 : x
  2. Step 2: Convert to fraction form
    100,860/219,462 = 219,462/x
  3. Step 3: Cross multiply
    100,860x = 219,462 × 219,462
  4. Step 4: Simplify right side
    100,860x = 48,163,569,444
  5. Step 5: Solve for x
    x = 48,163,569,444/100,860
  6. Step 6: Final answer
    x = 477,528.95

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.