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Finding the Third Proportional to 128,999 and 273,609

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Solution

The third proportional to 128,999 and 273,609 is: 580,329.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,999 : 273,609 = 273,609 : x
  2. Step 2: Convert to fraction form
    128,999/273,609 = 273,609/x
  3. Step 3: Cross multiply
    128,999x = 273,609 × 273,609
  4. Step 4: Simplify right side
    128,999x = 74,861,884,881
  5. Step 5: Solve for x
    x = 74,861,884,881/128,999
  6. Step 6: Final answer
    x = 580,329.19

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.