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Finding the Third Proportional to 178,469 and 401,880

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Solution

The third proportional to 178,469 and 401,880 is: 904,961.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,469 : 401,880 = 401,880 : x
  2. Step 2: Convert to fraction form
    178,469/401,880 = 401,880/x
  3. Step 3: Cross multiply
    178,469x = 401,880 × 401,880
  4. Step 4: Simplify right side
    178,469x = 161,507,534,400
  5. Step 5: Solve for x
    x = 161,507,534,400/178,469
  6. Step 6: Final answer
    x = 904,961.28

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Why These Related Problems?

These problems maintain the same ratio (2.25) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.