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Finding the Third Proportional to 173,940 and 378,120

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Solution

The third proportional to 173,940 and 378,120 is: 821,977.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,940 : 378,120 = 378,120 : x
  2. Step 2: Convert to fraction form
    173,940/378,120 = 378,120/x
  3. Step 3: Cross multiply
    173,940x = 378,120 × 378,120
  4. Step 4: Simplify right side
    173,940x = 142,974,734,400
  5. Step 5: Solve for x
    x = 142,974,734,400/173,940
  6. Step 6: Final answer
    x = 821,977.32

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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.