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Finding the Third Proportional to 20,412 and 30,888

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Solution

The third proportional to 20,412 and 30,888 is: 46,740.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,412 : 30,888 = 30,888 : x
  2. Step 2: Convert to fraction form
    20,412/30,888 = 30,888/x
  3. Step 3: Cross multiply
    20,412x = 30,888 × 30,888
  4. Step 4: Simplify right side
    20,412x = 954,068,544
  5. Step 5: Solve for x
    x = 954,068,544/20,412
  6. Step 6: Final answer
    x = 46,740.57

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.