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Finding the Third Proportional to 120,402 and 178,866

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Solution

The third proportional to 120,402 and 178,866 is: 265,718.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,402 : 178,866 = 178,866 : x
  2. Step 2: Convert to fraction form
    120,402/178,866 = 178,866/x
  3. Step 3: Cross multiply
    120,402x = 178,866 × 178,866
  4. Step 4: Simplify right side
    120,402x = 31,993,045,956
  5. Step 5: Solve for x
    x = 31,993,045,956/120,402
  6. Step 6: Final answer
    x = 265,718.56

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.