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Finding the Third Proportional to 381,408 and 577,037

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Solution

The third proportional to 381,408 and 577,037 is: 873,006.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,408 : 577,037 = 577,037 : x
  2. Step 2: Convert to fraction form
    381,408/577,037 = 577,037/x
  3. Step 3: Cross multiply
    381,408x = 577,037 × 577,037
  4. Step 4: Simplify right side
    381,408x = 332,971,699,369
  5. Step 5: Solve for x
    x = 332,971,699,369/381,408
  6. Step 6: Final answer
    x = 873,006.59

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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.