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Finding the Third Proportional to 121,539 and 265,009

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Solution

The third proportional to 121,539 and 265,009 is: 577,837.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,539 : 265,009 = 265,009 : x
  2. Step 2: Convert to fraction form
    121,539/265,009 = 265,009/x
  3. Step 3: Cross multiply
    121,539x = 265,009 × 265,009
  4. Step 4: Simplify right side
    121,539x = 70,229,770,081
  5. Step 5: Solve for x
    x = 70,229,770,081/121,539
  6. Step 6: Final answer
    x = 577,837.32

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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.