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Finding the Third Proportional to 121,805 and 265,743

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Solution

The third proportional to 121,805 and 265,743 is: 579,773.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,805 : 265,743 = 265,743 : x
  2. Step 2: Convert to fraction form
    121,805/265,743 = 265,743/x
  3. Step 3: Cross multiply
    121,805x = 265,743 × 265,743
  4. Step 4: Simplify right side
    121,805x = 70,619,342,049
  5. Step 5: Solve for x
    x = 70,619,342,049/121,805
  6. Step 6: Final answer
    x = 579,773.75

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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.