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Finding the Third Proportional to 122,299 and 268,653.50

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Solution

The third proportional to 122,299 and 268,653.50 is: 590,149.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,299 : 268,653.50 = 268,653.50 : x
  2. Step 2: Convert to fraction form
    122,299/268,653.50 = 268,653.50/x
  3. Step 3: Cross multiply
    122,299x = 268,653.50 × 268,653.50
  4. Step 4: Simplify right side
    122,299x = 72,174,703,062.25
  5. Step 5: Solve for x
    x = 72,174,703,062.25/122,299
  6. Step 6: Final answer
    x = 590,149.58

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.