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Finding the Third Proportional to 18,117.75 and 36,747.38

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Solution

The third proportional to 18,117.75 and 36,747.38 is: 74,532.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,117.75 : 36,747.38 = 36,747.38 : x
  2. Step 2: Convert to fraction form
    18,117.75/36,747.38 = 36,747.38/x
  3. Step 3: Cross multiply
    18,117.75x = 36,747.38 × 36,747.38
  4. Step 4: Simplify right side
    18,117.75x = 1,350,369,569.39
  5. Step 5: Solve for x
    x = 1,350,369,569.39/18,117.75
  6. Step 6: Final answer
    x = 74,532.96

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.