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Finding the Third Proportional to 135,724 and 178,476

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Solution

The third proportional to 135,724 and 178,476 is: 234,694.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,724 : 178,476 = 178,476 : x
  2. Step 2: Convert to fraction form
    135,724/178,476 = 178,476/x
  3. Step 3: Cross multiply
    135,724x = 178,476 × 178,476
  4. Step 4: Simplify right side
    135,724x = 31,853,682,576
  5. Step 5: Solve for x
    x = 31,853,682,576/135,724
  6. Step 6: Final answer
    x = 234,694.55

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.