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Finding the Third Proportional to 17,824 and 20,416

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Solution

The third proportional to 17,824 and 20,416 is: 23,384.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,824 : 20,416 = 20,416 : x
  2. Step 2: Convert to fraction form
    17,824/20,416 = 20,416/x
  3. Step 3: Cross multiply
    17,824x = 20,416 × 20,416
  4. Step 4: Simplify right side
    17,824x = 416,813,056
  5. Step 5: Solve for x
    x = 416,813,056/17,824
  6. Step 6: Final answer
    x = 23,384.93

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.