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Finding the Third Proportional to 122,212.13 and 172,990.69

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Solution

The third proportional to 122,212.13 and 172,990.69 is: 244,867.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,212.13 : 172,990.69 = 172,990.69 : x
  2. Step 2: Convert to fraction form
    122,212.13/172,990.69 = 172,990.69/x
  3. Step 3: Cross multiply
    122,212.13x = 172,990.69 × 172,990.69
  4. Step 4: Simplify right side
    122,212.13x = 29,925,777,961.72
  5. Step 5: Solve for x
    x = 29,925,777,961.72/122,212.13
  6. Step 6: Final answer
    x = 244,867.50

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.