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Finding the Third Proportional to 172,159 and 242,009

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Solution

The third proportional to 172,159 and 242,009 is: 340,199.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,159 : 242,009 = 242,009 : x
  2. Step 2: Convert to fraction form
    172,159/242,009 = 242,009/x
  3. Step 3: Cross multiply
    172,159x = 242,009 × 242,009
  4. Step 4: Simplify right side
    172,159x = 58,568,356,081
  5. Step 5: Solve for x
    x = 58,568,356,081/172,159
  6. Step 6: Final answer
    x = 340,199.21

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.