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Finding the Third Proportional to 381,738 and 572,418

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Solution

The third proportional to 381,738 and 572,418 is: 858,343.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,738 : 572,418 = 572,418 : x
  2. Step 2: Convert to fraction form
    381,738/572,418 = 572,418/x
  3. Step 3: Cross multiply
    381,738x = 572,418 × 572,418
  4. Step 4: Simplify right side
    381,738x = 327,662,366,724
  5. Step 5: Solve for x
    x = 327,662,366,724/381,738
  6. Step 6: Final answer
    x = 858,343.59

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.