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Finding the Third Proportional to 20,220 and 31,168

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Solution

The third proportional to 20,220 and 31,168 is: 48,043.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,220 : 31,168 = 31,168 : x
  2. Step 2: Convert to fraction form
    20,220/31,168 = 31,168/x
  3. Step 3: Cross multiply
    20,220x = 31,168 × 31,168
  4. Step 4: Simplify right side
    20,220x = 971,444,224
  5. Step 5: Solve for x
    x = 971,444,224/20,220
  6. Step 6: Final answer
    x = 48,043.73

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.