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Finding the Third Proportional to 20,424 and 43,287.75

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Solution

The third proportional to 20,424 and 43,287.75 is: 91,746.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,424 : 43,287.75 = 43,287.75 : x
  2. Step 2: Convert to fraction form
    20,424/43,287.75 = 43,287.75/x
  3. Step 3: Cross multiply
    20,424x = 43,287.75 × 43,287.75
  4. Step 4: Simplify right side
    20,424x = 1,873,829,300.06
  5. Step 5: Solve for x
    x = 1,873,829,300.06/20,424
  6. Step 6: Final answer
    x = 91,746.44

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.