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Finding the Third Proportional to 20,475 and 27,515

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Solution

The third proportional to 20,475 and 27,515 is: 36,975.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,475 : 27,515 = 27,515 : x
  2. Step 2: Convert to fraction form
    20,475/27,515 = 27,515/x
  3. Step 3: Cross multiply
    20,475x = 27,515 × 27,515
  4. Step 4: Simplify right side
    20,475x = 757,075,225
  5. Step 5: Solve for x
    x = 757,075,225/20,475
  6. Step 6: Final answer
    x = 36,975.59

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.