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Finding the Third Proportional to 18,683 and 28,047

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Solution

The third proportional to 18,683 and 28,047 is: 42,104.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,683 : 28,047 = 28,047 : x
  2. Step 2: Convert to fraction form
    18,683/28,047 = 28,047/x
  3. Step 3: Cross multiply
    18,683x = 28,047 × 28,047
  4. Step 4: Simplify right side
    18,683x = 786,634,209
  5. Step 5: Solve for x
    x = 786,634,209/18,683
  6. Step 6: Final answer
    x = 42,104.28

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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.