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Finding the Third Proportional to 238,469 and 505,360

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Solution

The third proportional to 238,469 and 505,360 is: 1,070,951.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,469 : 505,360 = 505,360 : x
  2. Step 2: Convert to fraction form
    238,469/505,360 = 505,360/x
  3. Step 3: Cross multiply
    238,469x = 505,360 × 505,360
  4. Step 4: Simplify right side
    238,469x = 255,388,729,600
  5. Step 5: Solve for x
    x = 255,388,729,600/238,469
  6. Step 6: Final answer
    x = 1,070,951.48

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.