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Finding the Third Proportional to 381,140 and 557,384

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Solution

The third proportional to 381,140 and 557,384 is: 815,125.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,140 : 557,384 = 557,384 : x
  2. Step 2: Convert to fraction form
    381,140/557,384 = 557,384/x
  3. Step 3: Cross multiply
    381,140x = 557,384 × 557,384
  4. Step 4: Simplify right side
    381,140x = 310,676,923,456
  5. Step 5: Solve for x
    x = 310,676,923,456/381,140
  6. Step 6: Final answer
    x = 815,125.47

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.