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Finding the Third Proportional to 121,908 and 265,992

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Solution

The third proportional to 121,908 and 265,992 is: 580,369.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,908 : 265,992 = 265,992 : x
  2. Step 2: Convert to fraction form
    121,908/265,992 = 265,992/x
  3. Step 3: Cross multiply
    121,908x = 265,992 × 265,992
  4. Step 4: Simplify right side
    121,908x = 70,751,744,064
  5. Step 5: Solve for x
    x = 70,751,744,064/121,908
  6. Step 6: Final answer
    x = 580,369.98

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.