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Finding the Third Proportional to 20,595 and 30,964.50

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Solution

The third proportional to 20,595 and 30,964.50 is: 46,555.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,595 : 30,964.50 = 30,964.50 : x
  2. Step 2: Convert to fraction form
    20,595/30,964.50 = 30,964.50/x
  3. Step 3: Cross multiply
    20,595x = 30,964.50 × 30,964.50
  4. Step 4: Simplify right side
    20,595x = 958,800,260.25
  5. Step 5: Solve for x
    x = 958,800,260.25/20,595
  6. Step 6: Final answer
    x = 46,555.00

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.