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Finding the Third Proportional to 135,259 and 289,279

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Solution

The third proportional to 135,259 and 289,279 is: 618,682.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,259 : 289,279 = 289,279 : x
  2. Step 2: Convert to fraction form
    135,259/289,279 = 289,279/x
  3. Step 3: Cross multiply
    135,259x = 289,279 × 289,279
  4. Step 4: Simplify right side
    135,259x = 83,682,339,841
  5. Step 5: Solve for x
    x = 83,682,339,841/135,259
  6. Step 6: Final answer
    x = 618,682.23

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.