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Finding the Third Proportional to 18,678.94 and 40,638.38

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Solution

The third proportional to 18,678.94 and 40,638.38 is: 88,413.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,678.94 : 40,638.38 = 40,638.38 : x
  2. Step 2: Convert to fraction form
    18,678.94/40,638.38 = 40,638.38/x
  3. Step 3: Cross multiply
    18,678.94x = 40,638.38 × 40,638.38
  4. Step 4: Simplify right side
    18,678.94x = 1,651,477,522.64
  5. Step 5: Solve for x
    x = 1,651,477,522.64/18,678.94
  6. Step 6: Final answer
    x = 88,413.89

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.