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Finding the Third Proportional to 388,757.81 and 580,138.88

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Solution

The third proportional to 388,757.81 and 580,138.88 is: 865,734.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    388,757.81 : 580,138.88 = 580,138.88 : x
  2. Step 2: Convert to fraction form
    388,757.81/580,138.88 = 580,138.88/x
  3. Step 3: Cross multiply
    388,757.81x = 580,138.88 × 580,138.88
  4. Step 4: Simplify right side
    388,757.81x = 336,561,114,286.27
  5. Step 5: Solve for x
    x = 336,561,114,286.27/388,757.81
  6. Step 6: Final answer
    x = 865,734.66

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.