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Finding the Third Proportional to 172,532 and 263,406

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Solution

The third proportional to 172,532 and 263,406 is: 402,144.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,532 : 263,406 = 263,406 : x
  2. Step 2: Convert to fraction form
    172,532/263,406 = 263,406/x
  3. Step 3: Cross multiply
    172,532x = 263,406 × 263,406
  4. Step 4: Simplify right side
    172,532x = 69,382,720,836
  5. Step 5: Solve for x
    x = 69,382,720,836/172,532
  6. Step 6: Final answer
    x = 402,144.07

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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.