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Finding the Third Proportional to 122,689.69 and 259,939.13

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Solution

The third proportional to 122,689.69 and 259,939.13 is: 550,725.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,689.69 : 259,939.13 = 259,939.13 : x
  2. Step 2: Convert to fraction form
    122,689.69/259,939.13 = 259,939.13/x
  3. Step 3: Cross multiply
    122,689.69x = 259,939.13 × 259,939.13
  4. Step 4: Simplify right side
    122,689.69x = 67,568,348,705.77
  5. Step 5: Solve for x
    x = 67,568,348,705.77/122,689.69
  6. Step 6: Final answer
    x = 550,725.58

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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.