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Finding the Third Proportional to 378,838 and 575,169

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Solution

The third proportional to 378,838 and 575,169 is: 873,247.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,838 : 575,169 = 575,169 : x
  2. Step 2: Convert to fraction form
    378,838/575,169 = 575,169/x
  3. Step 3: Cross multiply
    378,838x = 575,169 × 575,169
  4. Step 4: Simplify right side
    378,838x = 330,819,378,561
  5. Step 5: Solve for x
    x = 330,819,378,561/378,838
  6. Step 6: Final answer
    x = 873,247.61

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.