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Finding the Third Proportional to 121,266 and 247,464

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Solution

The third proportional to 121,266 and 247,464 is: 504,992.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,266 : 247,464 = 247,464 : x
  2. Step 2: Convert to fraction form
    121,266/247,464 = 247,464/x
  3. Step 3: Cross multiply
    121,266x = 247,464 × 247,464
  4. Step 4: Simplify right side
    121,266x = 61,238,431,296
  5. Step 5: Solve for x
    x = 61,238,431,296/121,266
  6. Step 6: Final answer
    x = 504,992.59

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.