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Finding the Third Proportional to 57,402 and 121,635

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Solution

The third proportional to 57,402 and 121,635 is: 257,744.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,402 : 121,635 = 121,635 : x
  2. Step 2: Convert to fraction form
    57,402/121,635 = 121,635/x
  3. Step 3: Cross multiply
    57,402x = 121,635 × 121,635
  4. Step 4: Simplify right side
    57,402x = 14,795,073,225
  5. Step 5: Solve for x
    x = 14,795,073,225/57,402
  6. Step 6: Final answer
    x = 257,744.91

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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.