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Finding the Third Proportional to 377,198 and 512,574

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Solution

The third proportional to 377,198 and 512,574 is: 696,536.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    377,198 : 512,574 = 512,574 : x
  2. Step 2: Convert to fraction form
    377,198/512,574 = 512,574/x
  3. Step 3: Cross multiply
    377,198x = 512,574 × 512,574
  4. Step 4: Simplify right side
    377,198x = 262,732,105,476
  5. Step 5: Solve for x
    x = 262,732,105,476/377,198
  6. Step 6: Final answer
    x = 696,536.32

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.