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Finding the Third Proportional to 17,378 and 38,138

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Solution

The third proportional to 17,378 and 38,138 is: 83,698.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,378 : 38,138 = 38,138 : x
  2. Step 2: Convert to fraction form
    17,378/38,138 = 38,138/x
  3. Step 3: Cross multiply
    17,378x = 38,138 × 38,138
  4. Step 4: Simplify right side
    17,378x = 1,454,507,044
  5. Step 5: Solve for x
    x = 1,454,507,044/17,378
  6. Step 6: Final answer
    x = 83,698.18

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.