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Finding the Third Proportional to 19,005 and 28,519

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Solution

The third proportional to 19,005 and 28,519 is: 42,795.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,005 : 28,519 = 28,519 : x
  2. Step 2: Convert to fraction form
    19,005/28,519 = 28,519/x
  3. Step 3: Cross multiply
    19,005x = 28,519 × 28,519
  4. Step 4: Simplify right side
    19,005x = 813,333,361
  5. Step 5: Solve for x
    x = 813,333,361/19,005
  6. Step 6: Final answer
    x = 42,795.76

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.