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Finding the Third Proportional to 18,789 and 29,133.38

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Solution

The third proportional to 18,789 and 29,133.38 is: 45,172.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,789 : 29,133.38 = 29,133.38 : x
  2. Step 2: Convert to fraction form
    18,789/29,133.38 = 29,133.38/x
  3. Step 3: Cross multiply
    18,789x = 29,133.38 × 29,133.38
  4. Step 4: Simplify right side
    18,789x = 848,753,538.89
  5. Step 5: Solve for x
    x = 848,753,538.89/18,789
  6. Step 6: Final answer
    x = 45,172.90

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.