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Finding the Third Proportional to 262,476 and 388,179

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Solution

The third proportional to 262,476 and 388,179 is: 574,082.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,476 : 388,179 = 388,179 : x
  2. Step 2: Convert to fraction form
    262,476/388,179 = 388,179/x
  3. Step 3: Cross multiply
    262,476x = 388,179 × 388,179
  4. Step 4: Simplify right side
    262,476x = 150,682,936,041
  5. Step 5: Solve for x
    x = 150,682,936,041/262,476
  6. Step 6: Final answer
    x = 574,082.72

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.