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Finding the Third Proportional to 19,271 and 28,907

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Solution

The third proportional to 19,271 and 28,907 is: 43,361.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,271 : 28,907 = 28,907 : x
  2. Step 2: Convert to fraction form
    19,271/28,907 = 28,907/x
  3. Step 3: Cross multiply
    19,271x = 28,907 × 28,907
  4. Step 4: Simplify right side
    19,271x = 835,614,649
  5. Step 5: Solve for x
    x = 835,614,649/19,271
  6. Step 6: Final answer
    x = 43,361.25

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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.