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Finding the Third Proportional to 57,014 and 121,409

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Solution

The third proportional to 57,014 and 121,409 is: 258,535.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,014 : 121,409 = 121,409 : x
  2. Step 2: Convert to fraction form
    57,014/121,409 = 121,409/x
  3. Step 3: Cross multiply
    57,014x = 121,409 × 121,409
  4. Step 4: Simplify right side
    57,014x = 14,740,145,281
  5. Step 5: Solve for x
    x = 14,740,145,281/57,014
  6. Step 6: Final answer
    x = 258,535.54

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.