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Finding the Third Proportional to 253,023.75 and 378,816.75

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Solution

The third proportional to 253,023.75 and 378,816.75 is: 567,148.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,023.75 : 378,816.75 = 378,816.75 : x
  2. Step 2: Convert to fraction form
    253,023.75/378,816.75 = 378,816.75/x
  3. Step 3: Cross multiply
    253,023.75x = 378,816.75 × 378,816.75
  4. Step 4: Simplify right side
    253,023.75x = 143,502,130,080.56
  5. Step 5: Solve for x
    x = 143,502,130,080.56/253,023.75
  6. Step 6: Final answer
    x = 567,148.85

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.