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Finding the Third Proportional to 121,982.63 and 190,351.69

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Solution

The third proportional to 121,982.63 and 190,351.69 is: 297,040.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,982.63 : 190,351.69 = 190,351.69 : x
  2. Step 2: Convert to fraction form
    121,982.63/190,351.69 = 190,351.69/x
  3. Step 3: Cross multiply
    121,982.63x = 190,351.69 × 190,351.69
  4. Step 4: Simplify right side
    121,982.63x = 36,233,764,934.10
  5. Step 5: Solve for x
    x = 36,233,764,934.10/121,982.63
  6. Step 6: Final answer
    x = 297,040.38

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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.