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Finding the Third Proportional to 20,448 and 22,272

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Solution

The third proportional to 20,448 and 22,272 is: 24,258.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,448 : 22,272 = 22,272 : x
  2. Step 2: Convert to fraction form
    20,448/22,272 = 22,272/x
  3. Step 3: Cross multiply
    20,448x = 22,272 × 22,272
  4. Step 4: Simplify right side
    20,448x = 496,041,984
  5. Step 5: Solve for x
    x = 496,041,984/20,448
  6. Step 6: Final answer
    x = 24,258.70

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.