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Finding the Third Proportional to 110,954 and 170,139

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Solution

The third proportional to 110,954 and 170,139 is: 260,894.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,954 : 170,139 = 170,139 : x
  2. Step 2: Convert to fraction form
    110,954/170,139 = 170,139/x
  3. Step 3: Cross multiply
    110,954x = 170,139 × 170,139
  4. Step 4: Simplify right side
    110,954x = 28,947,279,321
  5. Step 5: Solve for x
    x = 28,947,279,321/110,954
  6. Step 6: Final answer
    x = 260,894.42

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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.