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Finding the Third Proportional to 121,698 and 261,386

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Solution

The third proportional to 121,698 and 261,386 is: 561,411.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,698 : 261,386 = 261,386 : x
  2. Step 2: Convert to fraction form
    121,698/261,386 = 261,386/x
  3. Step 3: Cross multiply
    121,698x = 261,386 × 261,386
  4. Step 4: Simplify right side
    121,698x = 68,322,640,996
  5. Step 5: Solve for x
    x = 68,322,640,996/121,698
  6. Step 6: Final answer
    x = 561,411.37

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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.