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Finding the Third Proportional to 252,102 and 551,405

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Solution

The third proportional to 252,102 and 551,405 is: 1,206,049.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,102 : 551,405 = 551,405 : x
  2. Step 2: Convert to fraction form
    252,102/551,405 = 551,405/x
  3. Step 3: Cross multiply
    252,102x = 551,405 × 551,405
  4. Step 4: Simplify right side
    252,102x = 304,047,474,025
  5. Step 5: Solve for x
    x = 304,047,474,025/252,102
  6. Step 6: Final answer
    x = 1,206,049.43

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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.