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Finding the Third Proportional to 13,938 and 30,148

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Solution

The third proportional to 13,938 and 30,148 is: 65,210.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,938 : 30,148 = 30,148 : x
  2. Step 2: Convert to fraction form
    13,938/30,148 = 30,148/x
  3. Step 3: Cross multiply
    13,938x = 30,148 × 30,148
  4. Step 4: Simplify right side
    13,938x = 908,901,904
  5. Step 5: Solve for x
    x = 908,901,904/13,938
  6. Step 6: Final answer
    x = 65,210.35

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.