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Finding the Third Proportional to 19,775 and 30,153

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Solution

The third proportional to 19,775 and 30,153 is: 45,977.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,775 : 30,153 = 30,153 : x
  2. Step 2: Convert to fraction form
    19,775/30,153 = 30,153/x
  3. Step 3: Cross multiply
    19,775x = 30,153 × 30,153
  4. Step 4: Simplify right side
    19,775x = 909,203,409
  5. Step 5: Solve for x
    x = 909,203,409/19,775
  6. Step 6: Final answer
    x = 45,977.42

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.