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Finding the Third Proportional to 381,450 and 572,003

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Solution

The third proportional to 381,450 and 572,003 is: 857,746.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,450 : 572,003 = 572,003 : x
  2. Step 2: Convert to fraction form
    381,450/572,003 = 572,003/x
  3. Step 3: Cross multiply
    381,450x = 572,003 × 572,003
  4. Step 4: Simplify right side
    381,450x = 327,187,432,009
  5. Step 5: Solve for x
    x = 327,187,432,009/381,450
  6. Step 6: Final answer
    x = 857,746.58

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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.