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Finding the Third Proportional to 172,134 and 265,869

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Solution

The third proportional to 172,134 and 265,869 is: 410,647.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,134 : 265,869 = 265,869 : x
  2. Step 2: Convert to fraction form
    172,134/265,869 = 265,869/x
  3. Step 3: Cross multiply
    172,134x = 265,869 × 265,869
  4. Step 4: Simplify right side
    172,134x = 70,686,325,161
  5. Step 5: Solve for x
    x = 70,686,325,161/172,134
  6. Step 6: Final answer
    x = 410,647.08

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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.