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Finding the Third Proportional to 121,921.50 and 179,349

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Solution

The third proportional to 121,921.50 and 179,349 is: 263,826.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,921.50 : 179,349 = 179,349 : x
  2. Step 2: Convert to fraction form
    121,921.50/179,349 = 179,349/x
  3. Step 3: Cross multiply
    121,921.50x = 179,349 × 179,349
  4. Step 4: Simplify right side
    121,921.50x = 32,166,063,801
  5. Step 5: Solve for x
    x = 32,166,063,801/121,921.50
  6. Step 6: Final answer
    x = 263,826.02

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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.