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Finding the Third Proportional to 178,536.66 and 276,621.33

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Solution

The third proportional to 178,536.66 and 276,621.33 is: 428,591.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,536.66 : 276,621.33 = 276,621.33 : x
  2. Step 2: Convert to fraction form
    178,536.66/276,621.33 = 276,621.33/x
  3. Step 3: Cross multiply
    178,536.66x = 276,621.33 × 276,621.33
  4. Step 4: Simplify right side
    178,536.66x = 76,519,359,173.64
  5. Step 5: Solve for x
    x = 76,519,359,173.64/178,536.66
  6. Step 6: Final answer
    x = 428,591.87

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.