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Finding the Third Proportional to 233,832 and 505,028

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Solution

The third proportional to 233,832 and 505,028 is: 1,090,754.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,832 : 505,028 = 505,028 : x
  2. Step 2: Convert to fraction form
    233,832/505,028 = 505,028/x
  3. Step 3: Cross multiply
    233,832x = 505,028 × 505,028
  4. Step 4: Simplify right side
    233,832x = 255,053,280,784
  5. Step 5: Solve for x
    x = 255,053,280,784/233,832
  6. Step 6: Final answer
    x = 1,090,754.39

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.