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Finding the Third Proportional to 122,109.75 and 190,980

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Solution

The third proportional to 122,109.75 and 190,980 is: 298,693.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,109.75 : 190,980 = 190,980 : x
  2. Step 2: Convert to fraction form
    122,109.75/190,980 = 190,980/x
  3. Step 3: Cross multiply
    122,109.75x = 190,980 × 190,980
  4. Step 4: Simplify right side
    122,109.75x = 36,473,360,400
  5. Step 5: Solve for x
    x = 36,473,360,400/122,109.75
  6. Step 6: Final answer
    x = 298,693.27

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.