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Finding the Third Proportional to 121,910 and 265,996

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Solution

The third proportional to 121,910 and 265,996 is: 580,377.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,910 : 265,996 = 265,996 : x
  2. Step 2: Convert to fraction form
    121,910/265,996 = 265,996/x
  3. Step 3: Cross multiply
    121,910x = 265,996 × 265,996
  4. Step 4: Simplify right side
    121,910x = 70,753,872,016
  5. Step 5: Solve for x
    x = 70,753,872,016/121,910
  6. Step 6: Final answer
    x = 580,377.92

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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.