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Finding the Third Proportional to 118,019 and 259,366

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Solution

The third proportional to 118,019 and 259,366 is: 569,999.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,019 : 259,366 = 259,366 : x
  2. Step 2: Convert to fraction form
    118,019/259,366 = 259,366/x
  3. Step 3: Cross multiply
    118,019x = 259,366 × 259,366
  4. Step 4: Simplify right side
    118,019x = 67,270,721,956
  5. Step 5: Solve for x
    x = 67,270,721,956/118,019
  6. Step 6: Final answer
    x = 569,999.08

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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.