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Finding the Third Proportional to 172,540 and 264,272

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Solution

The third proportional to 172,540 and 264,272 is: 404,773.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,540 : 264,272 = 264,272 : x
  2. Step 2: Convert to fraction form
    172,540/264,272 = 264,272/x
  3. Step 3: Cross multiply
    172,540x = 264,272 × 264,272
  4. Step 4: Simplify right side
    172,540x = 69,839,689,984
  5. Step 5: Solve for x
    x = 69,839,689,984/172,540
  6. Step 6: Final answer
    x = 404,773.91

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.