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Finding the Third Proportional to 20,628.50 and 31,455.75

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Solution

The third proportional to 20,628.50 and 31,455.75 is: 47,965.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,628.50 : 31,455.75 = 31,455.75 : x
  2. Step 2: Convert to fraction form
    20,628.50/31,455.75 = 31,455.75/x
  3. Step 3: Cross multiply
    20,628.50x = 31,455.75 × 31,455.75
  4. Step 4: Simplify right side
    20,628.50x = 989,464,208.06
  5. Step 5: Solve for x
    x = 989,464,208.06/20,628.50
  6. Step 6: Final answer
    x = 47,965.88

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.