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Finding the Third Proportional to 171,378 and 371,357.50

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Solution

The third proportional to 171,378 and 371,357.50 is: 804,691.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,378 : 371,357.50 = 371,357.50 : x
  2. Step 2: Convert to fraction form
    171,378/371,357.50 = 371,357.50/x
  3. Step 3: Cross multiply
    171,378x = 371,357.50 × 371,357.50
  4. Step 4: Simplify right side
    171,378x = 137,906,392,806.25
  5. Step 5: Solve for x
    x = 137,906,392,806.25/171,378
  6. Step 6: Final answer
    x = 804,691.34

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.