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Finding the Third Proportional to 388,399.50 and 580,979.25

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Solution

The third proportional to 388,399.50 and 580,979.25 is: 869,045.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    388,399.50 : 580,979.25 = 580,979.25 : x
  2. Step 2: Convert to fraction form
    388,399.50/580,979.25 = 580,979.25/x
  3. Step 3: Cross multiply
    388,399.50x = 580,979.25 × 580,979.25
  4. Step 4: Simplify right side
    388,399.50x = 337,536,888,930.56
  5. Step 5: Solve for x
    x = 337,536,888,930.56/388,399.50
  6. Step 6: Final answer
    x = 869,045.63

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.