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Finding the Third Proportional to 121,543 and 265,016

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Solution

The third proportional to 121,543 and 265,016 is: 577,848.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,543 : 265,016 = 265,016 : x
  2. Step 2: Convert to fraction form
    121,543/265,016 = 265,016/x
  3. Step 3: Cross multiply
    121,543x = 265,016 × 265,016
  4. Step 4: Simplify right side
    121,543x = 70,233,480,256
  5. Step 5: Solve for x
    x = 70,233,480,256/121,543
  6. Step 6: Final answer
    x = 577,848.83

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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.