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Finding the Third Proportional to 121,889 and 179,306

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Solution

The third proportional to 121,889 and 179,306 is: 263,769.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,889 : 179,306 = 179,306 : x
  2. Step 2: Convert to fraction form
    121,889/179,306 = 179,306/x
  3. Step 3: Cross multiply
    121,889x = 179,306 × 179,306
  4. Step 4: Simplify right side
    121,889x = 32,150,641,636
  5. Step 5: Solve for x
    x = 32,150,641,636/121,889
  6. Step 6: Final answer
    x = 263,769.84

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.