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Finding the Third Proportional to 121,264 and 261,886

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Solution

The third proportional to 121,264 and 261,886 is: 565,578.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,264 : 261,886 = 261,886 : x
  2. Step 2: Convert to fraction form
    121,264/261,886 = 261,886/x
  3. Step 3: Cross multiply
    121,264x = 261,886 × 261,886
  4. Step 4: Simplify right side
    121,264x = 68,584,276,996
  5. Step 5: Solve for x
    x = 68,584,276,996/121,264
  6. Step 6: Final answer
    x = 565,578.22

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.