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Finding the Third Proportional to 180,908 and 378,322

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Solution

The third proportional to 180,908 and 378,322 is: 791,162.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,908 : 378,322 = 378,322 : x
  2. Step 2: Convert to fraction form
    180,908/378,322 = 378,322/x
  3. Step 3: Cross multiply
    180,908x = 378,322 × 378,322
  4. Step 4: Simplify right side
    180,908x = 143,127,535,684
  5. Step 5: Solve for x
    x = 143,127,535,684/180,908
  6. Step 6: Final answer
    x = 791,162.00

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.