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Finding the Third Proportional to 135,687 and 295,508

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Solution

The third proportional to 135,687 and 295,508 is: 643,576.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,687 : 295,508 = 295,508 : x
  2. Step 2: Convert to fraction form
    135,687/295,508 = 295,508/x
  3. Step 3: Cross multiply
    135,687x = 295,508 × 295,508
  4. Step 4: Simplify right side
    135,687x = 87,324,978,064
  5. Step 5: Solve for x
    x = 87,324,978,064/135,687
  6. Step 6: Final answer
    x = 643,576.60

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.