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Finding the Third Proportional to 227,400.75 and 378,967.50

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Solution

The third proportional to 227,400.75 and 378,967.50 is: 631,556.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,400.75 : 378,967.50 = 378,967.50 : x
  2. Step 2: Convert to fraction form
    227,400.75/378,967.50 = 378,967.50/x
  3. Step 3: Cross multiply
    227,400.75x = 378,967.50 × 378,967.50
  4. Step 4: Simplify right side
    227,400.75x = 143,616,366,056.25
  5. Step 5: Solve for x
    x = 143,616,366,056.25/227,400.75
  6. Step 6: Final answer
    x = 631,556.26

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.