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Finding the Third Proportional to 78,050 and 176,981

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Solution

The third proportional to 78,050 and 176,981 is: 401,310.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,050 : 176,981 = 176,981 : x
  2. Step 2: Convert to fraction form
    78,050/176,981 = 176,981/x
  3. Step 3: Cross multiply
    78,050x = 176,981 × 176,981
  4. Step 4: Simplify right side
    78,050x = 31,322,274,361
  5. Step 5: Solve for x
    x = 31,322,274,361/78,050
  6. Step 6: Final answer
    x = 401,310.37

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Why These Related Problems?

These problems maintain the same ratio (2.27) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.