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Finding the Third Proportional to 305,376 and 619,376

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Solution

The third proportional to 305,376 and 619,376 is: 1,256,243.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,376 : 619,376 = 619,376 : x
  2. Step 2: Convert to fraction form
    305,376/619,376 = 619,376/x
  3. Step 3: Cross multiply
    305,376x = 619,376 × 619,376
  4. Step 4: Simplify right side
    305,376x = 383,626,629,376
  5. Step 5: Solve for x
    x = 383,626,629,376/305,376
  6. Step 6: Final answer
    x = 1,256,243.55

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.