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Finding the Third Proportional to 172,794 and 270,476

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Solution

The third proportional to 172,794 and 270,476 is: 423,378.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,794 : 270,476 = 270,476 : x
  2. Step 2: Convert to fraction form
    172,794/270,476 = 270,476/x
  3. Step 3: Cross multiply
    172,794x = 270,476 × 270,476
  4. Step 4: Simplify right side
    172,794x = 73,157,266,576
  5. Step 5: Solve for x
    x = 73,157,266,576/172,794
  6. Step 6: Final answer
    x = 423,378.51

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.