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Finding the Third Proportional to 132,409 and 170,009

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Solution

The third proportional to 132,409 and 170,009 is: 218,286.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,409 : 170,009 = 170,009 : x
  2. Step 2: Convert to fraction form
    132,409/170,009 = 170,009/x
  3. Step 3: Cross multiply
    132,409x = 170,009 × 170,009
  4. Step 4: Simplify right side
    132,409x = 28,903,060,081
  5. Step 5: Solve for x
    x = 28,903,060,081/132,409
  6. Step 6: Final answer
    x = 218,286.22

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Why These Related Problems?

These problems maintain the same ratio (1.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.