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Finding the Third Proportional to 376,228 and 510,390

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Solution

The third proportional to 376,228 and 510,390 is: 692,393.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    376,228 : 510,390 = 510,390 : x
  2. Step 2: Convert to fraction form
    376,228/510,390 = 510,390/x
  3. Step 3: Cross multiply
    376,228x = 510,390 × 510,390
  4. Step 4: Simplify right side
    376,228x = 260,497,952,100
  5. Step 5: Solve for x
    x = 260,497,952,100/376,228
  6. Step 6: Final answer
    x = 692,393.85

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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.