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Finding the Third Proportional to 121,039 and 265,970

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Solution

The third proportional to 121,039 and 265,970 is: 584,440.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,039 : 265,970 = 265,970 : x
  2. Step 2: Convert to fraction form
    121,039/265,970 = 265,970/x
  3. Step 3: Cross multiply
    121,039x = 265,970 × 265,970
  4. Step 4: Simplify right side
    121,039x = 70,740,040,900
  5. Step 5: Solve for x
    x = 70,740,040,900/121,039
  6. Step 6: Final answer
    x = 584,440.06

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.