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Finding the Third Proportional to 9,415 and 20,765

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Solution

The third proportional to 9,415 and 20,765 is: 45,797.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,415 : 20,765 = 20,765 : x
  2. Step 2: Convert to fraction form
    9,415/20,765 = 20,765/x
  3. Step 3: Cross multiply
    9,415x = 20,765 × 20,765
  4. Step 4: Simplify right side
    9,415x = 431,185,225
  5. Step 5: Solve for x
    x = 431,185,225/9,415
  6. Step 6: Final answer
    x = 45,797.69

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.