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Finding the Third Proportional to 178,848 and 378,400.36

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Solution

The third proportional to 178,848 and 378,400.36 is: 800,606.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,848 : 378,400.36 = 378,400.36 : x
  2. Step 2: Convert to fraction form
    178,848/378,400.36 = 378,400.36/x
  3. Step 3: Cross multiply
    178,848x = 378,400.36 × 378,400.36
  4. Step 4: Simplify right side
    178,848x = 143,186,831,975.13
  5. Step 5: Solve for x
    x = 143,186,831,975.13/178,848
  6. Step 6: Final answer
    x = 800,606.28

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.