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Finding the Third Proportional to 121,472 and 248,992

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Solution

The third proportional to 121,472 and 248,992 is: 510,381.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,472 : 248,992 = 248,992 : x
  2. Step 2: Convert to fraction form
    121,472/248,992 = 248,992/x
  3. Step 3: Cross multiply
    121,472x = 248,992 × 248,992
  4. Step 4: Simplify right side
    121,472x = 61,997,016,064
  5. Step 5: Solve for x
    x = 61,997,016,064/121,472
  6. Step 6: Final answer
    x = 510,381.13

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.