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Finding the Third Proportional to 8,511.50 and 18,390.50

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Solution

The third proportional to 8,511.50 and 18,390.50 is: 39,735.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,511.50 : 18,390.50 = 18,390.50 : x
  2. Step 2: Convert to fraction form
    8,511.50/18,390.50 = 18,390.50/x
  3. Step 3: Cross multiply
    8,511.50x = 18,390.50 × 18,390.50
  4. Step 4: Simplify right side
    8,511.50x = 338,210,490.25
  5. Step 5: Solve for x
    x = 338,210,490.25/8,511.50
  6. Step 6: Final answer
    x = 39,735.71

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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.