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Finding the Third Proportional to 172,372 and 266,166

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Solution

The third proportional to 172,372 and 266,166 is: 410,996.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,372 : 266,166 = 266,166 : x
  2. Step 2: Convert to fraction form
    172,372/266,166 = 266,166/x
  3. Step 3: Cross multiply
    172,372x = 266,166 × 266,166
  4. Step 4: Simplify right side
    172,372x = 70,844,339,556
  5. Step 5: Solve for x
    x = 70,844,339,556/172,372
  6. Step 6: Final answer
    x = 410,996.80

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.