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Finding the Third Proportional to 118,138.50 and 259,240.50

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Solution

The third proportional to 118,138.50 and 259,240.50 is: 568,871.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,138.50 : 259,240.50 = 259,240.50 : x
  2. Step 2: Convert to fraction form
    118,138.50/259,240.50 = 259,240.50/x
  3. Step 3: Cross multiply
    118,138.50x = 259,240.50 × 259,240.50
  4. Step 4: Simplify right side
    118,138.50x = 67,205,636,840.25
  5. Step 5: Solve for x
    x = 67,205,636,840.25/118,138.50
  6. Step 6: Final answer
    x = 568,871.59

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.