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Finding the Third Proportional to 278,500.50 and 406,014.75

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Solution

The third proportional to 278,500.50 and 406,014.75 is: 591,912.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,500.50 : 406,014.75 = 406,014.75 : x
  2. Step 2: Convert to fraction form
    278,500.50/406,014.75 = 406,014.75/x
  3. Step 3: Cross multiply
    278,500.50x = 406,014.75 × 406,014.75
  4. Step 4: Simplify right side
    278,500.50x = 164,847,977,217.56
  5. Step 5: Solve for x
    x = 164,847,977,217.56/278,500.50
  6. Step 6: Final answer
    x = 591,912.68

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.