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Finding the Third Proportional to 121,427 and 182,951

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Solution

The third proportional to 121,427 and 182,951 is: 275,647.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,427 : 182,951 = 182,951 : x
  2. Step 2: Convert to fraction form
    121,427/182,951 = 182,951/x
  3. Step 3: Cross multiply
    121,427x = 182,951 × 182,951
  4. Step 4: Simplify right side
    121,427x = 33,471,068,401
  5. Step 5: Solve for x
    x = 33,471,068,401/121,427
  6. Step 6: Final answer
    x = 275,647.66

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.