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Finding the Third Proportional to 376,020 and 770,380

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Solution

The third proportional to 376,020 and 770,380 is: 1,578,334.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    376,020 : 770,380 = 770,380 : x
  2. Step 2: Convert to fraction form
    376,020/770,380 = 770,380/x
  3. Step 3: Cross multiply
    376,020x = 770,380 × 770,380
  4. Step 4: Simplify right side
    376,020x = 593,485,344,400
  5. Step 5: Solve for x
    x = 593,485,344,400/376,020
  6. Step 6: Final answer
    x = 1,578,334.52

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.