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Finding the Third Proportional to 121,696 and 261,382

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Solution

The third proportional to 121,696 and 261,382 is: 561,403.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,696 : 261,382 = 261,382 : x
  2. Step 2: Convert to fraction form
    121,696/261,382 = 261,382/x
  3. Step 3: Cross multiply
    121,696x = 261,382 × 261,382
  4. Step 4: Simplify right side
    121,696x = 68,320,549,924
  5. Step 5: Solve for x
    x = 68,320,549,924/121,696
  6. Step 6: Final answer
    x = 561,403.41

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.