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Finding the Third Proportional to 18,777 and 28,106.50

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Solution

The third proportional to 18,777 and 28,106.50 is: 42,071.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,777 : 28,106.50 = 28,106.50 : x
  2. Step 2: Convert to fraction form
    18,777/28,106.50 = 28,106.50/x
  3. Step 3: Cross multiply
    18,777x = 28,106.50 × 28,106.50
  4. Step 4: Simplify right side
    18,777x = 789,975,342.25
  5. Step 5: Solve for x
    x = 789,975,342.25/18,777
  6. Step 6: Final answer
    x = 42,071.44

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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.