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Finding the Third Proportional to 278,509.50 and 434,400.75

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Solution

The third proportional to 278,509.50 and 434,400.75 is: 677,549.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,509.50 : 434,400.75 = 434,400.75 : x
  2. Step 2: Convert to fraction form
    278,509.50/434,400.75 = 434,400.75/x
  3. Step 3: Cross multiply
    278,509.50x = 434,400.75 × 434,400.75
  4. Step 4: Simplify right side
    278,509.50x = 188,704,011,600.56
  5. Step 5: Solve for x
    x = 188,704,011,600.56/278,509.50
  6. Step 6: Final answer
    x = 677,549.64

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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.