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Finding the Third Proportional to 128,984 and 273,636

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Solution

The third proportional to 128,984 and 273,636 is: 580,511.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,984 : 273,636 = 273,636 : x
  2. Step 2: Convert to fraction form
    128,984/273,636 = 273,636/x
  3. Step 3: Cross multiply
    128,984x = 273,636 × 273,636
  4. Step 4: Simplify right side
    128,984x = 74,876,660,496
  5. Step 5: Solve for x
    x = 74,876,660,496/128,984
  6. Step 6: Final answer
    x = 580,511.23

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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.