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Finding the Third Proportional to 19,758 and 28,125

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Solution

The third proportional to 19,758 and 28,125 is: 40,035.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,758 : 28,125 = 28,125 : x
  2. Step 2: Convert to fraction form
    19,758/28,125 = 28,125/x
  3. Step 3: Cross multiply
    19,758x = 28,125 × 28,125
  4. Step 4: Simplify right side
    19,758x = 791,015,625
  5. Step 5: Solve for x
    x = 791,015,625/19,758
  6. Step 6: Final answer
    x = 40,035.21

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.