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Finding the Third Proportional to 120,278 and 170,965

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Solution

The third proportional to 120,278 and 170,965 is: 243,012.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,278 : 170,965 = 170,965 : x
  2. Step 2: Convert to fraction form
    120,278/170,965 = 170,965/x
  3. Step 3: Cross multiply
    120,278x = 170,965 × 170,965
  4. Step 4: Simplify right side
    120,278x = 29,229,031,225
  5. Step 5: Solve for x
    x = 29,229,031,225/120,278
  6. Step 6: Final answer
    x = 243,012.28

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.