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Finding the Third Proportional to 230,410 and 505,104

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Solution

The third proportional to 230,410 and 505,104 is: 1,107,287.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,410 : 505,104 = 505,104 : x
  2. Step 2: Convert to fraction form
    230,410/505,104 = 505,104/x
  3. Step 3: Cross multiply
    230,410x = 505,104 × 505,104
  4. Step 4: Simplify right side
    230,410x = 255,130,050,816
  5. Step 5: Solve for x
    x = 255,130,050,816/230,410
  6. Step 6: Final answer
    x = 1,107,287.23

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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.