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Finding the Third Proportional to 57,415 and 123,135

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Solution

The third proportional to 57,415 and 123,135 is: 264,081.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,415 : 123,135 = 123,135 : x
  2. Step 2: Convert to fraction form
    57,415/123,135 = 123,135/x
  3. Step 3: Cross multiply
    57,415x = 123,135 × 123,135
  4. Step 4: Simplify right side
    57,415x = 15,162,228,225
  5. Step 5: Solve for x
    x = 15,162,228,225/57,415
  6. Step 6: Final answer
    x = 264,081.31

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.