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Finding the Third Proportional to 121,456 and 261,052

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Solution

The third proportional to 121,456 and 261,052 is: 561,093.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,456 : 261,052 = 261,052 : x
  2. Step 2: Convert to fraction form
    121,456/261,052 = 261,052/x
  3. Step 3: Cross multiply
    121,456x = 261,052 × 261,052
  4. Step 4: Simplify right side
    121,456x = 68,148,146,704
  5. Step 5: Solve for x
    x = 68,148,146,704/121,456
  6. Step 6: Final answer
    x = 561,093.29

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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.