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Finding the Third Proportional to 381,406 and 577,034

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Solution

The third proportional to 381,406 and 577,034 is: 873,002.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,406 : 577,034 = 577,034 : x
  2. Step 2: Convert to fraction form
    381,406/577,034 = 577,034/x
  3. Step 3: Cross multiply
    381,406x = 577,034 × 577,034
  4. Step 4: Simplify right side
    381,406x = 332,968,237,156
  5. Step 5: Solve for x
    x = 332,968,237,156/381,406
  6. Step 6: Final answer
    x = 873,002.10

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.