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Finding the Third Proportional to 18,684 and 40,320.38

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Solution

The third proportional to 18,684 and 40,320.38 is: 87,012.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,684 : 40,320.38 = 40,320.38 : x
  2. Step 2: Convert to fraction form
    18,684/40,320.38 = 40,320.38/x
  3. Step 3: Cross multiply
    18,684x = 40,320.38 × 40,320.38
  4. Step 4: Simplify right side
    18,684x = 1,625,732,640.14
  5. Step 5: Solve for x
    x = 1,625,732,640.14/18,684
  6. Step 6: Final answer
    x = 87,012.02

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.