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Finding the Third Proportional to 121,761 and 261,630

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Solution

The third proportional to 121,761 and 261,630 is: 562,168.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,761 : 261,630 = 261,630 : x
  2. Step 2: Convert to fraction form
    121,761/261,630 = 261,630/x
  3. Step 3: Cross multiply
    121,761x = 261,630 × 261,630
  4. Step 4: Simplify right side
    121,761x = 68,450,256,900
  5. Step 5: Solve for x
    x = 68,450,256,900/121,761
  6. Step 6: Final answer
    x = 562,168.98

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.