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Finding the Third Proportional to 230,405 and 505,095

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Solution

The third proportional to 230,405 and 505,095 is: 1,107,271.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,405 : 505,095 = 505,095 : x
  2. Step 2: Convert to fraction form
    230,405/505,095 = 505,095/x
  3. Step 3: Cross multiply
    230,405x = 505,095 × 505,095
  4. Step 4: Simplify right side
    230,405x = 255,120,959,025
  5. Step 5: Solve for x
    x = 255,120,959,025/230,405
  6. Step 6: Final answer
    x = 1,107,271.80

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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.