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Finding the Third Proportional to 50,574 and 104,415

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Solution

The third proportional to 50,574 and 104,415 is: 215,575.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,574 : 104,415 = 104,415 : x
  2. Step 2: Convert to fraction form
    50,574/104,415 = 104,415/x
  3. Step 3: Cross multiply
    50,574x = 104,415 × 104,415
  4. Step 4: Simplify right side
    50,574x = 10,902,492,225
  5. Step 5: Solve for x
    x = 10,902,492,225/50,574
  6. Step 6: Final answer
    x = 215,575.04

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.