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Finding the Third Proportional to 257,568.37 and 378,635.05

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Solution

The third proportional to 257,568.37 and 378,635.05 is: 556,607.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,568.37 : 378,635.05 = 378,635.05 : x
  2. Step 2: Convert to fraction form
    257,568.37/378,635.05 = 378,635.05/x
  3. Step 3: Cross multiply
    257,568.37x = 378,635.05 × 378,635.05
  4. Step 4: Simplify right side
    257,568.37x = 143,364,503,898.68
  5. Step 5: Solve for x
    x = 143,364,503,898.68/257,568.37
  6. Step 6: Final answer
    x = 556,607.56

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.