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Finding the Third Proportional to 121,700 and 261,390

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Solution

The third proportional to 121,700 and 261,390 is: 561,419.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,700 : 261,390 = 261,390 : x
  2. Step 2: Convert to fraction form
    121,700/261,390 = 261,390/x
  3. Step 3: Cross multiply
    121,700x = 261,390 × 261,390
  4. Step 4: Simplify right side
    121,700x = 68,324,732,100
  5. Step 5: Solve for x
    x = 68,324,732,100/121,700
  6. Step 6: Final answer
    x = 561,419.33

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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.