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Finding the Third Proportional to 178,278 and 395,922

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Solution

The third proportional to 178,278 and 395,922 is: 879,268.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,278 : 395,922 = 395,922 : x
  2. Step 2: Convert to fraction form
    178,278/395,922 = 395,922/x
  3. Step 3: Cross multiply
    178,278x = 395,922 × 395,922
  4. Step 4: Simplify right side
    178,278x = 156,754,230,084
  5. Step 5: Solve for x
    x = 156,754,230,084/178,278
  6. Step 6: Final answer
    x = 879,268.50

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.