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Finding the Third Proportional to 376,309 and 573,286

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Solution

The third proportional to 376,309 and 573,286 is: 873,369.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    376,309 : 573,286 = 573,286 : x
  2. Step 2: Convert to fraction form
    376,309/573,286 = 573,286/x
  3. Step 3: Cross multiply
    376,309x = 573,286 × 573,286
  4. Step 4: Simplify right side
    376,309x = 328,656,837,796
  5. Step 5: Solve for x
    x = 328,656,837,796/376,309
  6. Step 6: Final answer
    x = 873,369.59

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.