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Finding the Third Proportional to 278,145.75 and 377,836.50

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Solution

The third proportional to 278,145.75 and 377,836.50 is: 513,257.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,145.75 : 377,836.50 = 377,836.50 : x
  2. Step 2: Convert to fraction form
    278,145.75/377,836.50 = 377,836.50/x
  3. Step 3: Cross multiply
    278,145.75x = 377,836.50 × 377,836.50
  4. Step 4: Simplify right side
    278,145.75x = 142,760,420,732.25
  5. Step 5: Solve for x
    x = 142,760,420,732.25/278,145.75
  6. Step 6: Final answer
    x = 513,257.60

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.