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Finding the Third Proportional to 180,904 and 378,314

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Solution

The third proportional to 180,904 and 378,314 is: 791,146.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,904 : 378,314 = 378,314 : x
  2. Step 2: Convert to fraction form
    180,904/378,314 = 378,314/x
  3. Step 3: Cross multiply
    180,904x = 378,314 × 378,314
  4. Step 4: Simplify right side
    180,904x = 143,121,482,596
  5. Step 5: Solve for x
    x = 143,121,482,596/180,904
  6. Step 6: Final answer
    x = 791,146.04

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.