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Finding the Third Proportional to 238,480 and 505,390

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Solution

The third proportional to 238,480 and 505,390 is: 1,071,029.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,480 : 505,390 = 505,390 : x
  2. Step 2: Convert to fraction form
    238,480/505,390 = 505,390/x
  3. Step 3: Cross multiply
    238,480x = 505,390 × 505,390
  4. Step 4: Simplify right side
    238,480x = 255,419,052,100
  5. Step 5: Solve for x
    x = 255,419,052,100/238,480
  6. Step 6: Final answer
    x = 1,071,029.24

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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.