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Finding the Third Proportional to 135,740 and 289,512

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Solution

The third proportional to 135,740 and 289,512 is: 617,483.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,740 : 289,512 = 289,512 : x
  2. Step 2: Convert to fraction form
    135,740/289,512 = 289,512/x
  3. Step 3: Cross multiply
    135,740x = 289,512 × 289,512
  4. Step 4: Simplify right side
    135,740x = 83,817,198,144
  5. Step 5: Solve for x
    x = 83,817,198,144/135,740
  6. Step 6: Final answer
    x = 617,483.41

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.