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Finding the Third Proportional to 137,378 and 217,947

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Solution

The third proportional to 137,378 and 217,947 is: 345,767.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,378 : 217,947 = 217,947 : x
  2. Step 2: Convert to fraction form
    137,378/217,947 = 217,947/x
  3. Step 3: Cross multiply
    137,378x = 217,947 × 217,947
  4. Step 4: Simplify right side
    137,378x = 47,500,894,809
  5. Step 5: Solve for x
    x = 47,500,894,809/137,378
  6. Step 6: Final answer
    x = 345,767.84

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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.