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Finding the Third Proportional to 18,126 and 29,998.50

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Solution

The third proportional to 18,126 and 29,998.50 is: 49,647.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,126 : 29,998.50 = 29,998.50 : x
  2. Step 2: Convert to fraction form
    18,126/29,998.50 = 29,998.50/x
  3. Step 3: Cross multiply
    18,126x = 29,998.50 × 29,998.50
  4. Step 4: Simplify right side
    18,126x = 899,910,002.25
  5. Step 5: Solve for x
    x = 899,910,002.25/18,126
  6. Step 6: Final answer
    x = 49,647.47

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Why These Related Problems?

These problems maintain the same ratio (1.65) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.