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Finding the Third Proportional to 257,314.50 and 399,984.75

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Solution

The third proportional to 257,314.50 and 399,984.75 is: 621,759.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,314.50 : 399,984.75 = 399,984.75 : x
  2. Step 2: Convert to fraction form
    257,314.50/399,984.75 = 399,984.75/x
  3. Step 3: Cross multiply
    257,314.50x = 399,984.75 × 399,984.75
  4. Step 4: Simplify right side
    257,314.50x = 159,987,800,232.56
  5. Step 5: Solve for x
    x = 159,987,800,232.56/257,314.50
  6. Step 6: Final answer
    x = 621,759.75

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.