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Finding the Third Proportional to 121,531 and 266,966

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Solution

The third proportional to 121,531 and 266,966 is: 586,441.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,531 : 266,966 = 266,966 : x
  2. Step 2: Convert to fraction form
    121,531/266,966 = 266,966/x
  3. Step 3: Cross multiply
    121,531x = 266,966 × 266,966
  4. Step 4: Simplify right side
    121,531x = 71,270,845,156
  5. Step 5: Solve for x
    x = 71,270,845,156/121,531
  6. Step 6: Final answer
    x = 586,441.69

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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.