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Finding the Third Proportional to 278,185.75 and 433,529.75

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Solution

The third proportional to 278,185.75 and 433,529.75 is: 675,620.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,185.75 : 433,529.75 = 433,529.75 : x
  2. Step 2: Convert to fraction form
    278,185.75/433,529.75 = 433,529.75/x
  3. Step 3: Cross multiply
    278,185.75x = 433,529.75 × 433,529.75
  4. Step 4: Simplify right side
    278,185.75x = 187,948,044,135.06
  5. Step 5: Solve for x
    x = 187,948,044,135.06/278,185.75
  6. Step 6: Final answer
    x = 675,620.67

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.