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Finding the Third Proportional to 172,610 and 264,930

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Solution

The third proportional to 172,610 and 264,930 is: 406,627.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,610 : 264,930 = 264,930 : x
  2. Step 2: Convert to fraction form
    172,610/264,930 = 264,930/x
  3. Step 3: Cross multiply
    172,610x = 264,930 × 264,930
  4. Step 4: Simplify right side
    172,610x = 70,187,904,900
  5. Step 5: Solve for x
    x = 70,187,904,900/172,610
  6. Step 6: Final answer
    x = 406,627.11

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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.