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Finding the Third Proportional to 255,648 and 378,550.50

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Solution

The third proportional to 255,648 and 378,550.50 is: 560,538.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,648 : 378,550.50 = 378,550.50 : x
  2. Step 2: Convert to fraction form
    255,648/378,550.50 = 378,550.50/x
  3. Step 3: Cross multiply
    255,648x = 378,550.50 × 378,550.50
  4. Step 4: Simplify right side
    255,648x = 143,300,481,050.25
  5. Step 5: Solve for x
    x = 143,300,481,050.25/255,648
  6. Step 6: Final answer
    x = 560,538.24

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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.