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Finding the Third Proportional to 121,667 and 179,341

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Solution

The third proportional to 121,667 and 179,341 is: 264,354.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,667 : 179,341 = 179,341 : x
  2. Step 2: Convert to fraction form
    121,667/179,341 = 179,341/x
  3. Step 3: Cross multiply
    121,667x = 179,341 × 179,341
  4. Step 4: Simplify right side
    121,667x = 32,163,194,281
  5. Step 5: Solve for x
    x = 32,163,194,281/121,667
  6. Step 6: Final answer
    x = 264,354.30

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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.