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Finding the Third Proportional to 255,704.34 and 378,609.19

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Solution

The third proportional to 255,704.34 and 378,609.19 is: 560,588.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,704.34 : 378,609.19 = 378,609.19 : x
  2. Step 2: Convert to fraction form
    255,704.34/378,609.19 = 378,609.19/x
  3. Step 3: Cross multiply
    255,704.34x = 378,609.19 × 378,609.19
  4. Step 4: Simplify right side
    255,704.34x = 143,344,916,859.41
  5. Step 5: Solve for x
    x = 143,344,916,859.41/255,704.34
  6. Step 6: Final answer
    x = 560,588.51

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.