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Finding the Third Proportional to 18,762 and 28,619

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Solution

The third proportional to 18,762 and 28,619 is: 43,654.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,762 : 28,619 = 28,619 : x
  2. Step 2: Convert to fraction form
    18,762/28,619 = 28,619/x
  3. Step 3: Cross multiply
    18,762x = 28,619 × 28,619
  4. Step 4: Simplify right side
    18,762x = 819,047,161
  5. Step 5: Solve for x
    x = 819,047,161/18,762
  6. Step 6: Final answer
    x = 43,654.58

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.