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Finding the Third Proportional to 276,378.75 and 421,942.50

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Solution

The third proportional to 276,378.75 and 421,942.50 is: 644,172.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,378.75 : 421,942.50 = 421,942.50 : x
  2. Step 2: Convert to fraction form
    276,378.75/421,942.50 = 421,942.50/x
  3. Step 3: Cross multiply
    276,378.75x = 421,942.50 × 421,942.50
  4. Step 4: Simplify right side
    276,378.75x = 178,035,473,306.25
  5. Step 5: Solve for x
    x = 178,035,473,306.25/276,378.75
  6. Step 6: Final answer
    x = 644,172.08

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.