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Finding the Third Proportional to 57,416 and 121,782

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Solution

The third proportional to 57,416 and 121,782 is: 258,305.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,416 : 121,782 = 121,782 : x
  2. Step 2: Convert to fraction form
    57,416/121,782 = 121,782/x
  3. Step 3: Cross multiply
    57,416x = 121,782 × 121,782
  4. Step 4: Simplify right side
    57,416x = 14,830,855,524
  5. Step 5: Solve for x
    x = 14,830,855,524/57,416
  6. Step 6: Final answer
    x = 258,305.27

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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.