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Finding the Third Proportional to 18,681.50 and 28,099

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Solution

The third proportional to 18,681.50 and 28,099 is: 42,263.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,681.50 : 28,099 = 28,099 : x
  2. Step 2: Convert to fraction form
    18,681.50/28,099 = 28,099/x
  3. Step 3: Cross multiply
    18,681.50x = 28,099 × 28,099
  4. Step 4: Simplify right side
    18,681.50x = 789,553,801
  5. Step 5: Solve for x
    x = 789,553,801/18,681.50
  6. Step 6: Final answer
    x = 42,263.94

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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.