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Finding the Third Proportional to 122,599 and 263,983.50

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Solution

The third proportional to 122,599 and 263,983.50 is: 568,416.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,599 : 263,983.50 = 263,983.50 : x
  2. Step 2: Convert to fraction form
    122,599/263,983.50 = 263,983.50/x
  3. Step 3: Cross multiply
    122,599x = 263,983.50 × 263,983.50
  4. Step 4: Simplify right side
    122,599x = 69,687,288,272.25
  5. Step 5: Solve for x
    x = 69,687,288,272.25/122,599
  6. Step 6: Final answer
    x = 568,416.45

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.