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Finding the Third Proportional to 171,990 and 265,653

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Solution

The third proportional to 171,990 and 265,653 is: 410,323.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,990 : 265,653 = 265,653 : x
  2. Step 2: Convert to fraction form
    171,990/265,653 = 265,653/x
  3. Step 3: Cross multiply
    171,990x = 265,653 × 265,653
  4. Step 4: Simplify right side
    171,990x = 70,571,516,409
  5. Step 5: Solve for x
    x = 70,571,516,409/171,990
  6. Step 6: Final answer
    x = 410,323.37

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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.