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Finding the Third Proportional to 25,172 and 39,989

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Solution

The third proportional to 25,172 and 39,989 is: 63,527.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,172 : 39,989 = 39,989 : x
  2. Step 2: Convert to fraction form
    25,172/39,989 = 39,989/x
  3. Step 3: Cross multiply
    25,172x = 39,989 × 39,989
  4. Step 4: Simplify right side
    25,172x = 1,599,120,121
  5. Step 5: Solve for x
    x = 1,599,120,121/25,172
  6. Step 6: Final answer
    x = 63,527.73

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.