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Finding the Third Proportional to 121,265 and 266,367

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Solution

The third proportional to 121,265 and 266,367 is: 585,093.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,265 : 266,367 = 266,367 : x
  2. Step 2: Convert to fraction form
    121,265/266,367 = 266,367/x
  3. Step 3: Cross multiply
    121,265x = 266,367 × 266,367
  4. Step 4: Simplify right side
    121,265x = 70,951,378,689
  5. Step 5: Solve for x
    x = 70,951,378,689/121,265
  6. Step 6: Final answer
    x = 585,093.63

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.