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Finding the Third Proportional to 57,491 and 121,939

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Solution

The third proportional to 57,491 and 121,939 is: 258,633.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,491 : 121,939 = 121,939 : x
  2. Step 2: Convert to fraction form
    57,491/121,939 = 121,939/x
  3. Step 3: Cross multiply
    57,491x = 121,939 × 121,939
  4. Step 4: Simplify right side
    57,491x = 14,869,119,721
  5. Step 5: Solve for x
    x = 14,869,119,721/57,491
  6. Step 6: Final answer
    x = 258,633.87

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.