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Finding the Third Proportional to 388,762 and 580,145

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Solution

The third proportional to 388,762 and 580,145 is: 865,743.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    388,762 : 580,145 = 580,145 : x
  2. Step 2: Convert to fraction form
    388,762/580,145 = 580,145/x
  3. Step 3: Cross multiply
    388,762x = 580,145 × 580,145
  4. Step 4: Simplify right side
    388,762x = 336,568,221,025
  5. Step 5: Solve for x
    x = 336,568,221,025/388,762
  6. Step 6: Final answer
    x = 865,743.62

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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.