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Finding the Third Proportional to 179,520 and 378,480

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Solution

The third proportional to 179,520 and 378,480 is: 797,945.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,520 : 378,480 = 378,480 : x
  2. Step 2: Convert to fraction form
    179,520/378,480 = 378,480/x
  3. Step 3: Cross multiply
    179,520x = 378,480 × 378,480
  4. Step 4: Simplify right side
    179,520x = 143,247,110,400
  5. Step 5: Solve for x
    x = 143,247,110,400/179,520
  6. Step 6: Final answer
    x = 797,945.13

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.