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Finding the Third Proportional to 259,676 and 388,476

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Solution

The third proportional to 259,676 and 388,476 is: 581,161.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,676 : 388,476 = 388,476 : x
  2. Step 2: Convert to fraction form
    259,676/388,476 = 388,476/x
  3. Step 3: Cross multiply
    259,676x = 388,476 × 388,476
  4. Step 4: Simplify right side
    259,676x = 150,913,602,576
  5. Step 5: Solve for x
    x = 150,913,602,576/259,676
  6. Step 6: Final answer
    x = 581,161.15

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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.