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Finding the Third Proportional to 230,640 and 505,000

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Solution

The third proportional to 230,640 and 505,000 is: 1,105,727.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,640 : 505,000 = 505,000 : x
  2. Step 2: Convert to fraction form
    230,640/505,000 = 505,000/x
  3. Step 3: Cross multiply
    230,640x = 505,000 × 505,000
  4. Step 4: Simplify right side
    230,640x = 255,025,000,000
  5. Step 5: Solve for x
    x = 255,025,000,000/230,640
  6. Step 6: Final answer
    x = 1,105,727.54

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.