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Finding the Third Proportional to 178,660 and 267,798

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Solution

The third proportional to 178,660 and 267,798 is: 401,409.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,660 : 267,798 = 267,798 : x
  2. Step 2: Convert to fraction form
    178,660/267,798 = 267,798/x
  3. Step 3: Cross multiply
    178,660x = 267,798 × 267,798
  4. Step 4: Simplify right side
    178,660x = 71,715,768,804
  5. Step 5: Solve for x
    x = 71,715,768,804/178,660
  6. Step 6: Final answer
    x = 401,409.21

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.