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Finding the Third Proportional to 207,909 and 273,003

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Solution

The third proportional to 207,909 and 273,003 is: 358,477.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,909 : 273,003 = 273,003 : x
  2. Step 2: Convert to fraction form
    207,909/273,003 = 273,003/x
  3. Step 3: Cross multiply
    207,909x = 273,003 × 273,003
  4. Step 4: Simplify right side
    207,909x = 74,530,638,009
  5. Step 5: Solve for x
    x = 74,530,638,009/207,909
  6. Step 6: Final answer
    x = 358,477.21

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.