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Finding the Third Proportional to 121,131.70 and 282,920.34

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Solution

The third proportional to 121,131.70 and 282,920.34 is: 660,800.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,131.70 : 282,920.34 = 282,920.34 : x
  2. Step 2: Convert to fraction form
    121,131.70/282,920.34 = 282,920.34/x
  3. Step 3: Cross multiply
    121,131.70x = 282,920.34 × 282,920.34
  4. Step 4: Simplify right side
    121,131.70x = 80,043,920,907.62
  5. Step 5: Solve for x
    x = 80,043,920,907.62/121,131.70
  6. Step 6: Final answer
    x = 660,800.76

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.