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Finding the Third Proportional to 18,923 and 28,384.50

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Solution

The third proportional to 18,923 and 28,384.50 is: 42,576.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,923 : 28,384.50 = 28,384.50 : x
  2. Step 2: Convert to fraction form
    18,923/28,384.50 = 28,384.50/x
  3. Step 3: Cross multiply
    18,923x = 28,384.50 × 28,384.50
  4. Step 4: Simplify right side
    18,923x = 805,679,840.25
  5. Step 5: Solve for x
    x = 805,679,840.25/18,923
  6. Step 6: Final answer
    x = 42,576.75

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Similar ratio
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1.5x scale

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.