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Finding the Third Proportional to 255,606.75 and 378,474.75

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Solution

The third proportional to 255,606.75 and 378,474.75 is: 560,404.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,606.75 : 378,474.75 = 378,474.75 : x
  2. Step 2: Convert to fraction form
    255,606.75/378,474.75 = 378,474.75/x
  3. Step 3: Cross multiply
    255,606.75x = 378,474.75 × 378,474.75
  4. Step 4: Simplify right side
    255,606.75x = 143,243,136,387.56
  5. Step 5: Solve for x
    x = 143,243,136,387.56/255,606.75
  6. Step 6: Final answer
    x = 560,404.36

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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.