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Finding the Third Proportional to 278,143.88 and 377,834.63

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Solution

The third proportional to 278,143.88 and 377,834.63 is: 513,255.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,143.88 : 377,834.63 = 377,834.63 : x
  2. Step 2: Convert to fraction form
    278,143.88/377,834.63 = 377,834.63/x
  3. Step 3: Cross multiply
    278,143.88x = 377,834.63 × 377,834.63
  4. Step 4: Simplify right side
    278,143.88x = 142,759,003,848.89
  5. Step 5: Solve for x
    x = 142,759,003,848.89/278,143.88
  6. Step 6: Final answer
    x = 513,255.97

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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.