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Finding the Third Proportional to 178,240 and 396,327

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Solution

The third proportional to 178,240 and 396,327 is: 881,256.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,240 : 396,327 = 396,327 : x
  2. Step 2: Convert to fraction form
    178,240/396,327 = 396,327/x
  3. Step 3: Cross multiply
    178,240x = 396,327 × 396,327
  4. Step 4: Simplify right side
    178,240x = 157,075,090,929
  5. Step 5: Solve for x
    x = 157,075,090,929/178,240
  6. Step 6: Final answer
    x = 881,256.12

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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.