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Finding the Third Proportional to 135,235 and 289,231

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Solution

The third proportional to 135,235 and 289,231 is: 618,586.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,235 : 289,231 = 289,231 : x
  2. Step 2: Convert to fraction form
    135,235/289,231 = 289,231/x
  3. Step 3: Cross multiply
    135,235x = 289,231 × 289,231
  4. Step 4: Simplify right side
    135,235x = 83,654,571,361
  5. Step 5: Solve for x
    x = 83,654,571,361/135,235
  6. Step 6: Final answer
    x = 618,586.69

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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.