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Finding the Third Proportional to 121,654 and 266,992

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Solution

The third proportional to 121,654 and 266,992 is: 585,962.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,654 : 266,992 = 266,992 : x
  2. Step 2: Convert to fraction form
    121,654/266,992 = 266,992/x
  3. Step 3: Cross multiply
    121,654x = 266,992 × 266,992
  4. Step 4: Simplify right side
    121,654x = 71,284,728,064
  5. Step 5: Solve for x
    x = 71,284,728,064/121,654
  6. Step 6: Final answer
    x = 585,962.88

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.